Question

Factor completely
x^2 - 10x + 24

Answer 1

The fully factored form is (x - 6)(x - 4)

Explanation:

In order to find this, look for factors of +24 that add up to -10. To do this, we list out the factors of +24

1, 24

-1, -24

2, 12

-2, -12

3, 8

-3, -8

4, 6

-4, -6

Since the highlighted two add up to -10, then we know these are the numbers we put in parenthesis with the x's.

(x - 4)(x - 6)

Answer 2

Hello.

The answer is: (x−4)(x−6)

Factoring means we want something like

(x+_)(x+_)

We need two numbers that...

Add together to get -10

Multiply together to get 24

Try -4 and -6:

-4+-6 = -10

-4*-6 = 24

Fill in the blanks in

(x+_)(x+_)

with -4 and -6 to get...

(x-4)(x-6)

Have a nice day