1. Multiplication of Polynomials
Chapter 5 Section 2
Multiplication of Polynomials

2. Monomial and Polynomial
Use the distributive property

3. Binomial and Trinomial
Distribute the binomial’s terms

4. Binomial and Polynomial
Distribute the terms of the binomial

5. Two Binomial
Two ways
Foil
Area model

6. 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)

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

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

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

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

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

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

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

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

15. 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)

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

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