### Home > CCA2 > Chapter 10 > Lesson 10.2.1 > Problem 10-93

10-93.

Factor and simplify each expression below. Homework Help ✎

Justify each step in simplifying the expression in part (a).

Factor and then reduce.

For the numerator, what numbers multiply to −6 and add to −5?

Put these numbers in a generic rectangle (these create your "middle term") along with the first and last terms.

Now find the greatest common factors of each row and column.

See the generic rectangle.

2*x*^{2} − 5*x* − 3 = (*x* − 3)(2*x* + 1)

Now factor the denominator and simplify.