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Published byAlexander Richard Modified over 9 years ago
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3x + 6x2 – 10 + 9x2 + 2x 5x2y + 3xy – 8x2y + 6xy (2x2)(-4x3) 2(x + 4)
12/2/ Challenge 3x + 6x2 – x2 + 2x 5x2y + 3xy – 8x2y + 6xy (2x2)(-4x3) 2(x + 4) 7(12 + 3x) – 10 15x2 + 5x - 10 -3x2y + 9xy 3x2 -8x5 2x + 8 21x + 74
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Classifying Polynomials
Objective: To classify polynomials by degree and by number of terms Example of a Polynomial Degrees Constant Coefficients
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Vocabulary Degree: is the exponent for each variable.
Degree of the polynomial: is the largest exponent of the polynomial. Leading coefficient: is the coefficient of the first term. Descending order/Standard form is how polynomials are written where the terms are placed in descending order from largest degree to smallest.
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Example: Write the polynomials in Standard form/descending order
Example: Write the polynomials in Standard form/descending order. Then identify the leading coefficient and degree of the polynomial. 1. Degree is 7 Leading coefficient is 3 2. Degree is 4 leading coefficient is –2
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Classifying Polynomials By Degree Degree Example
Constant 6 -3 Linear 1 3x + 4 -7x + 2 Quadratic 2 Cubic 3 Quartic 4
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Classifying polynomials By # of terms # of terms Example
Monomial 1 3x Binomial 2 3x + 1 Trinomial 3 Note: Any polynomials with four or more terms are just called polynomials
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Adding and Subtracting Polynomials
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Adding Drop the parentheses and combine like terms.
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Practice
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Subtracting Distribute the negative to all terms in the 2nd parenthesis. This will change all of the signs of each term. Then, combine like terms.
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Practice
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Multiplying Polynomials Monomial x Polynomial
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(5)(x + 6)
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(x2)(x + 6)
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(-2x)(x2 – 4x + 2)
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Multiplying Polynomials Binomial x Binomial or Trinomial
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Multiplying Polynomials
Using the distributive property
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Multiplying Polynomials
F - First O - Outside I – Inside L - Last (z + 5) (z + 3)
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(x - 2) (x + 4)
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(x + 9) (x – 3)
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(x + 3) (x – 3)
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(2x + 5)(x + 6)
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(3x – 1)(2x – 4)
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(5b – 6)(3b2 – 2b + 5) This is NOT FOIL!
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Find the area of the rectangle.
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Find the area of the rectangle.
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Find the volume.
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Practice Worksheet
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