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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)

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)-example-1
User Dorad
by
6.3k points

2 Answers

1 vote

Answer: b. (x−4)(x−10)

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)

Answer:

(x−4)(x−10)

User Matt Aldridge
by
6.4k points
1 vote
The answer is : B. (X-10)(x-4)
User Thomasb
by
6.7k points