### Home > INT3 > Chapter Ch12 > Lesson 12.2.1 > Problem 12-86

12-86.

Factor and simplify each expression below. Homework Help ✎

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.