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Home > CCA > Chapter 9 > Lesson 9.1.3 > Problem 9-27

9-27.

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.