Lesson 29 Section 5.8Using Factoring to Solve Some Equations.Principle of Zero Products: If two factors have a product of 0, at least one of the factors must be zero. Object 1Solve:1)0)3)(2( xx2)0)5)(12(3 yyySteps for Solving Some Polynomial Equations:1. Write the polynomial in descending order set equal to zero.2. Factor the polynomial completely using appropriate means.3. Apply the Principle of Zero Products rule by setting each factor equal to zero.4. Solve each equation.Solve:3)0862 xx4)092 mm5)Object 66)0252y17)aaa 403238)( 3)( 2) 45r r- + =Application Problems:1) An envelope with an area of 96 square centimeters has a length 4 cm more than itswidth. Find the length and width.2) A picture frame measures 14 cm by 20 cm and 160 square cm of the picture shows. (See picture below.) Find the width of the frame.23) Three consecutive even integers are such that the square of the first plus the square of the third is 136. Find the 3 integers.4) A company that makes cabinet sets has the following revenue and cost functions to make x sets of cabinets (in thousands of dollars).102)(2)(22xxxCxxxRHow many cabinets should be made for the company to break
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