Question

I need help i don't how to do this can some one help me by walking me by step by step?
[8.03] What are the factors of x2 + 12x + 20?

(x + 4)(x + 5)

(x + 2)(x + 10)

(x − 4)(x − 5)

(x − 2)(x − 10)

Answer 1

are you familiar with FOIL.....this is kind of reverse FOIL.
You need to find 2 numbers when added together = 12, and when multiplied together = 20.
Since there are positive signs, then the signs in your answer will be positive.
(x + -)(x + -)
Now what two numbers added together to equal 12 and multiplied together = 20 ?

Answer 2

x^2 + 12x + 20
x^2+10x+2x+20
x(x+10)+2(x+10)
(x + 2)(x +10)

Answer 3

and there is the answer....

Answer 4

you can check your answer by using FOIL
(x + 2)(x + 10)
F- first terms multiplied x * x = x^2
O - outside terms multiplied x * 10 = 10x
I - inside terms multiplied x * 2 = 2x
L - last terms multiplied 2 * 10 = 20
now put it all together
x^2 + 10x + 2x + 20
combine like terms
x^2 + 12x + 20

Answer 5

Oh ok thank you @texaschic101

Answer 6

YW :)

Answer 7

and @Nurali

Answer 8

Anytime.