Degree of a Polynomial The degree of a polynomial is calculated by finding the largest exponent in the polynomial.

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Degree of a Polynomial The degree of a polynomial is calculated by finding the largest exponent in the polynomial.

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

9 No variableConstant

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

Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic

Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic

Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic

Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic 2x 5 + 7x 3 5 th degreeQuintic

9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic 2x 5 + 7x 3 5 th degreeQuintic 5x n 6th degree or higher “nth” degree Degree of a Polynomial (Each degree has a special “name”)

Let’s practice classifying polynomials by “degree”. POLYNOMIAL 1. 3z 4 + 5z 3 – a c 10 – 7c 6 + 4c f 3 – 7f y g 4 – 3g r 5 –7r 9. 16n 7 + 6n 4 – 3n 2 DEGREE NAME 1. Quartic 2. Linear 3. Constant 4. Tenth degree 5. Cubic 6. Quadratic 7. Quartic 8. Quintic 9. Seventh degree The degree name becomes the “first name” of the polynomial.

Naming Polynomials (by number of terms)

One termMonomial

Naming Polynomials (by number of terms) One termMonomial Two termsBinomial

Naming Polynomials (by number of terms) One termMonomial Two termsBinomial Three termsTrinomial

Naming Polynomials (by number of terms) One termMonomial Two termsBinomial Three termsTrinomial Four (or more) terms Polynomial with 4 (or more) terms

Let’s practice classifying a polynomial by “number of terms”. Polynomial 1. 15x 2. 2e 8 – 3e 7 + 3e – c y 7 – 4y 5 + 8y p 8 – 4p 6 + 9p 4 + 3p – h 3 – 15h c Classify by # of Terms: 1. Monomial 2. Polynomial with 4 terms 3. Binomial 4. Trinomial 5. Monomial 6. Polynomial with 5 terms 7. Trinomial 8. Binomial

Can you name them now? POLYNOMIAL 1. 5x 2 – 2x z a 3 + 4a – x 8 + 3x 5 – 7x x 4 – x – x 5 CLASSIFICATION / NAME 1. Quadratic Trinomial 2. Linear Binomial 3. Cubic Trinomial 4. Constant Monomial 5. 8 th Degree Polynomial with 4 terms. 6. Quartic Binomial 7. Linear Binomial 8. Quintic Monomial