### Home > CCA > Chapter 9 > Lesson 9.1.2 > Problem 9-17

9-17.

Solve the following quadratic equations by factoring and using the Zero Product Property. Be sure to check your solutions. Homework Help ✎

*x*^{2}− 13*x*+ 42 = 00 = 3

*x*^{2}+ 10*x*− 82

*x*^{2}− 10*x*= 04

*x*^{2}+ 8*x*− 60 = 0

Draw a generic rectangle and diamond.

Factor.

(*x* − 6) (x − 7) = 0

One solution is *x* = 6.

Make sure you find the other solution.

0 = (3*x* − 2) (? + ?)

Notice that each term is a multiple of 4.

*x* = 3 or *x* = −5

There are only 2 terms, so factor using the GCF.