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Multiplying PolynomialsThis 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. Polynomials can have many terms.
Multiply. (2x + 3)(5x + 8) Using the Distributive property, multiply2x(5x + 8) + 3(5x + 8). 10x2 + 16x + 15x + 24 Combine like terms. 10x2 + 31x + 24 Another option is called the FOIL method.
FOIL First terms Outer terms Inner terms Last terms
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).
(y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial.
(y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial.
(y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial.y2 + 7y + 3y
Monomial times a Binomialx(x+4) Multiply each term in the parentheses by x = x2+4x The problem was completed using the distributive property.
Monomial times a Trinomial2x(x2+3x+4) Multiply the Monomial: 2x by the Trinomial: x2+3x+4 =2x3+6x2+8x
(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.
Simplify the expression. 1.(–3x 3 )(5x) ANSWER –15x 4 ANSWER –9x–9x 2. 9x – 18x 3. 10y 2 + 7y – 8y 2 – 1 ANSWER 2y 2 + 7y – 1.
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