### Home > AC > Chapter 14 > Lesson 14.2.1.2 > Problem2-28

2-28.

Factor each expression below completely.

1. $x^{2} − 2x − 63$

Try to think of two factors of $63$ that have a difference of $2$.

Notice that the constant, $−63$, is negative.

$\left(x − 9\right)\left(x + 7\right)$

1. $2x^{2} − 5x −12$

Try using a diamond problem and a generic rectangle.

To get $2x^{2}$ you need factors $\left(2x \right)\left(x \right)$.

$\left(2x + 3\right)\left(x − 4\right)$