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Multiplying Polynomials

Multiplying Polynomials. This PowerPoint will show you two methods that will multiply polynomials. Brandon Young. What are Polynomials?. A polynomial is made up of terms that are only added, subtracted, or multiplied. It can have constants, variables, and exponents.

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Multiplying Polynomials

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

  4. FOIL First terms Outer terms Inner terms Last 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. y2

  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 • = x2+4x • The problem was completed using the distributive property.

  10. Monomial times a Trinomial • 2x(x2+3x+4) • Multiply the Monomial: 2x by the Trinomial: x2+3x+4 • =2x3+6x2+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 • http://www.mathsisfun.com/algebra/polynomials.html- http://www.wyzant.com/Help/Math/Algebra/FOIL.aspx http://www.regentsprep.org/regents/math/algebra/AV3/multMon.htm

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