X- 14x + 40
O
A.
(X + 8)(x + 5)
B. (x - 10)(x-4)
LOC. (x-8)(x-5)
O D.
(x+ 10)(x + 4)

b. (x−4)(x−10)

Step-by-step explanation:

Let's factor x^2−14x+40

x^2−14x+40

The middle number is -14 and the last number is 40.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -14

Multiply together to get 40

Can you think of the two numbers?

Try -4 and -10:

-4+-10 = -14

-4*-10 = 40

Fill in the blanks in

(x+_)(x+_)

with -4 and -10 to get...

(x-4)(x-10)

(x−4)(x−10)