### Home > CCA > Chapter 8 > Lesson 8.1.2 > Problem8-17

8-17.

Use the process you developed in problem 8-14 to factor the following quadratics, if possible. Homework Help ✎

1. $x^2−4x−12$

Use a generic rectangle and a diamond to factor the quadratic.

$(x−6)(x+2)$

1. $4x^2+4x+1$

See the hints in part (a).

$(2x+1)^2$

 $-12$ $x^2$

 $-6x$ $-12$ $x^2$ $2x$

 $-6$ $-6x$ $-12$ $x$ $x^2$ $2x$ $x$ $2$

 $1$ $4x^2$

 $2x$ $1$ $4x^2$ $2x$

 $1$ $2x$ $1$ $2x$ $4x^2$ $2x$ $x$ $1$

1. $2x^2−9x−5$

See the hints in part (a).

 $-5$ $2x^2$

1. $3x^2+10x−8$

See the hints in part (a).