Question

Write the quadratic equation in factored form. Be sure to write the entire equation. x 2 - 5x - 24 = 0

Answer 1

(x - 8)(x + 3) = 0.

Explanation:

x^2 - 5x - 24 = 0

We need 2 numbers whose sum is -5 and whose product is -24. These are -8 and + 3, so we have the factorised equation:

(x - 8)(x + 3) = 0.

Answer 2

(x - 8)(x + 3)

Explanation:

The factor pairs of 24 are:

1 and 24

2 and 12

3 and 8

4 and 6

Only one factor pair have a difference of 5, which is 3 and 8.

Since the x term is negative, the greater factor will be negative.

So the factored form is (x - 8)(x + 3).