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Home > AC > Chapter 8 > Lesson 8.3.2 > Problem 8-106


Solve the following quadratic equations by factoring and using the Zero Product Property. Then check your solutions.

  1. Use a generic rectangle and a diamond problem to help you factor the equation.

    left edge top 


    interior top left 


    interior top right 


     left edge bottom


    interior bottom left 


    interior bottom right 


    bottom edge left

    bottom edge right

     Diamond Problem. Left negative 5 x. Right negative 5 x. Top 25 x squared.  Bottom negative 10 x.

  1. See part (a).

  1. Rewrite the equation so that it is equal to .

  1. You should notice that this is a difference of squares.