1. 7.8 Multiplying Polynomials
Algebra 10.0

2. Main Idea
You will have many polynomials that are being multiplied and will need to use exponent rules.
Don’t use the exponent rules on the coefficients!

3. Ex 1- Multiplying Monomials
Monomial Products:
1) Multiply regular numbers
2) Add the exponents with
the same base

4. Practice 1

5. Ex 2- Multiplying Polynomials & Monomials
Monomial and Polynomial Products:
Use distributive property
Then multiply regular numbers and add exponents

6. Practice 2

7. Ex 3 Multiplying a Binomial and a Binomial
You use the distributive property twice.
(x + 3)(x + 2)
There are two methods you can use to multiply a binomial by a binomial.
BINOMIAL BY BINOMIAL PRODUCTS:
FOIL (the most common for binomial products)
Punnett Square (can be used for any polynomial product)
You can use either method.
Know how to use both.

8. FOIL

9. MULTIPLY BINOMIALS FOIL METHOD (x + 3)(x + 2) PUNNETT SQUARE F = First
O = Outside
I = Inside
L = Last
(x + 3)(x + 2)
PUNNETT SQUARE

10. Ex 3- Product of Binomials

11. Ex 3- Product of Binomials

12. Practice 3

13. Ex 4 Multiplying Polynomials
Polynomial Products: use a big Punnett Square

14. Ex 4 Multiplying Polynomials
Polynomial Products: use a big Punnett Square

15. Practice 4

16. Review
When multiplying monomials what do you do with the exponents, bases and coefficients?
When multiplying a polynomial by a monomial what property do you use?
When multiplying binomials what methods can you use?
When multiplying polynomials what method works better?