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Multiplying Polynomials This PowerPoint will show you two methods that will multiply polynomials Brandon Young.

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Presentation on theme: "Multiplying Polynomials This PowerPoint will show you two methods that will multiply polynomials Brandon Young."— Presentation transcript:

1 Multiplying Polynomials This PowerPoint will show you two methods that will multiply polynomials Brandon Young

2 What are Polynomials? A polynomial is made up of terms that are only added, subtracted, or multiplied. It can have constants, variables, and exponents. Polynomials can have many terms.

3 Multiply. (2x + 3)(5x + 8) Using the Distributive property, multiply 2x(5x + 8) + 3(5x + 8). 10x x + 15x + 24 Combine like terms. 10x x + 24 Another option is called the FOIL method.

4 FOIL F irst terms O uter terms I nner terms L ast terms

5 Foil Method The FOIL method can be used when you multiply 2 binomials. It tells you which terms to multiply. Use the FOIL method to multiply these binomials: (y + 3)(y + 7).

6 (y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial. y 2

7 (y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial. y2 + 7y

8 (y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial. y2 + 7y + 3y

9 Monomial times a Binomial x(x+4) Multiply each term in the parentheses by x = x 2 +4x The problem was completed using the distributive property.

10 Monomial times a Trinomial 2x(x 2 +3x+4) Multiply the Monomial: 2x by the Trinomial: x 2 +3x+4 =2x 3 +6x 2 +8x

11 (y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial. y2 + 7y + 3y + 21 Combine like terms. y2 + 10y + 21 is your Final Answer.

12 Sources html-http://www.mathsisfun.com/algebra/polynomials. html- px h/algebra/AV3/multMon.htm


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