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7 .6 Multiply a Polynomial by a Monomial

7 .6 Multiply a Polynomial by a Monomial. CFU 3102.3.5 Add, subtract, and multiply polynomials including squaring a binomial. CFU 3102.3.7 Use various models (including area models) to represent products of polynomials. SPI 3102.3.2 Operate with polynomials and simplify results . .

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7 .6 Multiply a Polynomial by a Monomial

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  1. 7.6 Multiply a Polynomial by a Monomial CFU 3102.3.5 Add, subtract, and multiply polynomials including squaring a binomial. CFU 3102.3.7 Use various models (including area models) to represent products of polynomials. SPI 3102.3.2 Operate with polynomials and simplify results.

  2. Multiply Monomial vs Polynomial Use Distributive Property -2x2(3x2 -7x + 10) -2x2(3x2) = -6x4 -2x2(-7x) = +14x3 -2x2(+ 10) = -20x2 • = -6x4 +14x3 -20x2

  3. Simplify the Equation 3(2t2-4t-15) + 6t(5t + 2) Use Distributive Property 6t2-12t-45 + 30t2 + 12t Combine Like Terms 36t2 +0t -45 • 36t2 - 45

  4. Solving Polynomial Equations y(y-12) +y(y+2) +25 = 2y(y+5) -15 Use Distributive Property y2-12y +y2+2y +25 = 2y2+10y -15 Combine Like Terms 2y2 -10y +25 • = 2y2+10y -15 • - 2y2 • - 2y2 Solve for y • -10y + 25 = +10y -15 • + 10y • + 10y • 25 = +20y -15 • +15 +15 • 40 = +20y • 20 20 divide both sides by 20 • 2 = y

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