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Multiplying Polynomials

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Presentation on theme: "Multiplying Polynomials"— Presentation transcript:

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)


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