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**Multiplying Polynomials**

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

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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.

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**Multiply. (2x + 3)(5x + 8) Using the Distributive property, multiply**

2x(5x + 8) + 3(5x + 8). 10x2 + 16x + 15x + 24 Combine like terms. 10x2 + 31x + 24 Another option is called the FOIL method.

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FOIL First terms Outer terms Inner terms Last terms

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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).

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

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

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

y2 + 7y + 3y

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**Monomial times a Binomial**

x(x+4) Multiply each term in the parentheses by x = x2+4x The problem was completed using the distributive property.

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**Monomial times a Trinomial**

2x(x2+3x+4) Multiply the Monomial: 2x by the Trinomial: x2+3x+4 =2x3+6x2+8x

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**(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.

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**Sources http://www.mathsisfun.com/algebra/polynomials.html-**

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