1. Multiplying Polynomials
CA 10.0

2. Objective - To multiply polynomials.

3. Multiplying Monomials
Multiply the coefficients, then multiply each variable.

4. Multiply the polynomial by the monomial.
1) 3(x + 4)
Distributive Property 2) 3)

5. Use “Punnett” Rectangles
Multiplying Polynomials
Use “Punnett” Rectangles
Now combine like terms.

6. Use “Punnett” Rectangles
Multiplying Polynomials
Use “Punnett” Rectangles
Now combine like terms.

7. Polynomial Perfect Squares
Simplify.
Common mistake!

8. Simplify. 1) 2)

9. Usually the product of two binomials = Trinomial = Quadratic Term
Constant
Term
Linear
Term

10. F O I L
For use with the product of binomials only!
First
Outer
Inner
Last

11. First F O I L For use with the product of binomials only! Outer Inner
Last

12. Outer F O I L For use with the product of binomials only! First Inner
Last

13. Inner F O I L For use with the product of binomials only! First Outer
Last

14. Last F O I L For use with the product of binomials only! First Outer
Inner

15. First F O I L For use with the product of binomials only! Outer Inner
Last

16. Outer F O I L For use with the product of binomials only! First Inner
Last

17. Inner F O I L For use with the product of binomials only! First Outer
Last

18. Last F O I L For use with the product of binomials only! First Outer
Inner

19. F O I L
For use with the product of binomials only!
First
Outer
Inner
Last

20. F O I L
Try...
First
Outer
Inner
Last

21. Use FOIL to multiply the binomials below.1) 6) 2) 7) 3) 8) 4) 9) 5)
10)

22. Use FOIL to multiply the binomials below.
11)
16)
12)
17)
13)
18)
14)
19)
15)
20)