Multiplication of Polynomials

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Presentation transcript:

Multiplication of Polynomials Chapter 5 Section 2 Multiplication of Polynomials

Monomial and Polynomial Use the distributive property

Binomial and Trinomial Distribute the binomial’s terms

Binomial and Polynomial Distribute the terms of the binomial

Two Binomial Two ways Foil Area model

Two Binomial Foil (3x + 5y)(x – 2y) F – Front – two front terms in each binomial: (3x)(x) O – Outside – two outside terms: (3x)(-2y) I – Inside – two inside terms: (5y)(x) L – Last – two last terms: (5y)(-2y)

Two Binomial Multiply (x + 3)(x + 2) (2x – 3)(5x – 4)

Two Binomial (3x + 5y)(x – 2y) Area Model 3x 5y Find the area of x each region -2y

Show on paper (3x + 5y)(x – 2y) Area model

Two Binomial Multiply (x + 3)(x + 2) (2x – 3)(5x – 4)

Binomial Square Square of a binomial Meaning of the exponent Way 1 Use area model Use rule Meaning of the exponent

Use paper Show area model Show rule Explain rule (fist term)2 +- 2(first)(last) + (last)2

Sum, Difference of Two Terms (A + B)(A – B) Area model Rule A2 – B2 (9x + 5)(9x - 5)

Simplify 1) 2) 3) 4) (5x – 3)(5x + 3) 5)

Multiplication of Polynomial Functions (fg)(x) = f(x) • g(x) If f(x) = x – 5 and g(x) = x – 2 find (fg)(x) (gf)(3)

Practice Find the product 3x2(3x + 2) (x – 1)(x2 + x + 2) (3x – 2y)(2x – 5y) (3x – 4y)2 (8x – 7y)(8x + 7y)

Summary Multiplied the following Monomial by Polynomial Binomial by Polynomial Binomial by Binomial Binomial Square Sum, Difference of Two Binomials Multiply Polynomial Functions