CLASSIFYING POLYNOMIALS by: GLORIA KENT

Today’s Objectives: Classify a polynomial by it’s degree. Classify a polynomial by it’s number of terms “Name” a polynomial by it’s “first and last names” determined by it’s degree and number of terms.

Degree of a Polynomial The degree of a polynomial is calculated by finding the largest exponent in the polynomial. (Learned in previous lesson on Writing Polynomials in Standard Form)

Degree of a Polynomial (Each degree has a special “name”) 9

Degree of a Polynomial (Each degree has a special “name”) 9 No variable

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree Quintic

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree Quintic 5xn

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree Quintic 5xn “nth” degree

Degree of a Polynomial (Each degree has a special “name”) 9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree Quintic 5xn “nth” degree

Let’s practice classifying polynomials by “degree”. 3z4 + 5z3 – 7 15a + 25 185 2c10 – 7c6 + 4c3 - 9 2f3 – 7f2 + 1 15y2 9g4 – 3g + 5 10r5 –7r 16n7 + 6n4 – 3n2 DEGREE NAME Quartic Linear Constant Tenth degree Cubic Quadratic Quintic Seventh degree The degree name becomes the “first name” of the polynomial.

Naming Polynomials (by number of terms)

Naming Polynomials (by number of terms) One term

Naming Polynomials (by number of terms) One term Monomial

Naming Polynomials (by number of terms) One term Monomial

Naming Polynomials (by number of terms) One term Monomial Two terms

Naming Polynomials (by number of terms) One term Monomial Two terms Binomial

Naming Polynomials (by number of terms) One term Monomial Two terms Binomial

Naming Polynomials (by number of terms) One term Monomial Two terms Binomial Three terms

Naming Polynomials (by number of terms) One term Monomial Two terms Binomial Three terms Trinomial

Naming Polynomials (by number of terms) One term Monomial Two terms Binomial Three terms Trinomial

Naming Polynomials (by number of terms) One term Monomial Two terms Binomial Three terms Trinomial Four (or more) terms

Naming Polynomials (by number of terms) One term Monomial Two terms Binomial Three terms Trinomial Four (or more) terms Polynomial with 4 (or more) terms

Classifying (or Naming) a Polynomial by Number of Terms 25

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms Polynomial with 4 terms

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms Polynomial with 4 terms 8j7 – 3j5 + 2j4 - j2 - 6j + 7

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms Polynomial with 4 terms 8j7 – 3j5 + 2j4 - j2 - 6j + 7 6 terms

Classifying (or Naming) a Polynomial by Number of Terms 25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms Polynomial with 4 terms 8j7 – 3j5 + 2j4 - j2 - 6j + 7 6 terms Polynomial with 6 terms The term name becomes the “last name” of a polynomial.

Let’s practice classifying a polynomial by “number of terms”. 15x 2e8 – 3e7 + 3e – 7 6c + 5 3y7 – 4y5 + 8y3 64 2p8 – 4p6 + 9p4 + 3p – 1 25h3 – 15h2 + 18 55c19 + 35 Classify by # of Terms: Monomial Polynomial with 4 terms Binomial Trinomial Polynomial with 5 terms

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 2x 2x + 7 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 2x 2x + 7 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) 2x 2x + 7 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 2x + 7 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) 2x + 7 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) 2x + 7 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) Linear Binomial 5b2

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) Linear Binomial 5b2 2nd degree (quadratic)

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) Linear Binomial 5b2 2nd degree (quadratic)

Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name) Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) Linear Binomial 5b2 2nd degree (quadratic) Quadratic Monomial

. . .more polynomials. . . 5b2 + 2 5b2 + 3b + 2 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 5b2 + 3b + 2 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) 5b2 + 3b + 2 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f Cubic Trinomial 9k4

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f Cubic Trinomial 9k4 4th degree (quartic)

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f Cubic Trinomial 9k4 4th degree (quartic)

. . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f Cubic Trinomial 9k4 4th degree (quartic) Quartic Monomial

. . .more polynomials. . . 9k4 – 3k2 9k4 + 3k2 + 2 v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) 9k4 + 3k2 + 2 v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 Quintic Trinomial j7 - 2j5 + 7j3 - 8

. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 Quintic Trinomial j7 - 2j5 + 7j3 - 8 7th degree (7th degree)

4 terms (polynomial with 4 terms) . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 Quintic Trinomial j7 - 2j5 + 7j3 - 8 7th degree (7th degree) 4 terms (polynomial with 4 terms)

4 terms (polynomial with 4 terms) . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 Quintic Trinomial j7 - 2j5 + 7j3 - 8 7th degree (7th degree) 4 terms (polynomial with 4 terms) 7th degree polynomial with 4 terms

Can you name them now? Give it a try. . . copy and classify (2 columns): POLYNOMIAL 5x2 – 2x + 3 2z + 5 7a3 + 4a – 12 -15 27x8 + 3x5 – 7x + 4 9x4 – 3 10x – 185 18x5 CLASSIFICATION / NAME Quadratic Trinomial Linear Binomial Cubic Trinomial Constant Monomial 8th Degree Polynomial with 4 terms. Quartic Binomial Quintic Monomial

. . .more practice. . . 19z25 6n7 + 3n5 – 4n 189 15g5 + 3g4 – 3g – 7 3x9 + 12 6z3 – 2z2 + 4z + 7 9c 15b2 – b + 51 25th degree Monomial 7th degree Trinomial Constant Monomial Quintic polynomial with 4 terms 9th degree Binomial Cubic polynomial with 4 terms. Linear Monomial Quadratic Trinomial

Create-A-Polynomial Activity: You will need one sheet of paper, a pencil, and your notes on Classifying Polynomials. You will be given the names of some polynomials. YOU must create a correct matching example, but REMEMBER: Answers must be in standard form. Each problem can only use one variable throughout the problem (see examples in notes from powerpoint). All variable powers in each example must have DIFFERENT exponents (again, see examples in notes from powerpoint). There can only be one constant in each problem. You will need two columns on your paper. Left column title: Polynomial Name Right column title: Polynomial in Standard Form.

Create - A – Polynomial Activity: Copy each polynomial name Create - A – Polynomial Activity: Copy each polynomial name. Create your own polynomial to match ( 2 columns). Partner/Independent work (pairs). 6th degree polynomial with 4 terms. Linear Monomial Quadratic Trinomial Constant Monomial Cubic Binomial Quartic Monomial Quintic polynomial with 5 terms. Linear Binomial Cubic Trinomial Quadratic Binomial Quintic Trinomial Constant Monomial Cubic Monomial 10th degree polynomial with 6 terms 8th degree Binomial 20th degree Trinomial