Question

Factor.
x^2– 14x + 24

Answer 1

(x - 2) (x - 12)

Explanation:

Factor x^2 - 14x + 24 using the AC method.

(x - 12) (x - 2)

The middle number is - 14 nd the last number is 24

Factoring means filling in the blanks to an equation like this:

(x + _) (x + _)

You must find out which number goes in the blank(s).

To find the two number that...

1. Add together to get - 14

2. Multiply together to get 24.

Try - 2 and - 12:

1. - 2 + - 12 = - 14

2. - 2 * - 12 = 24

Those two numbers seem good!

Next, fill in the blanks of...

(x + _) (x + _)

with - 2 and - 12 to get (x - 2) (x - 12).

Hope this helps!

Answer 2

(x - 2) (x - 12)

Explanation:

Factor the following:

x^2 - 14 x + 24

The factors of 24 that sum to -14 are -2 and -12. So, x^2 - 14 x + 24 = (x - 2) (x - 12):

Answer: (x - 2) (x - 12)