Factor completely

x^2 - 10x + 24

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

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

Step-by-step 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)