Question

How do you being to factor this equation?

(x^2+2)(a+3)+(x^2+2)(2a+7)

Thank you!

Answer 1

you mean foil? because this equation is already factored...

Answer 2

or do you mean refactor into a product of two single expressions?

Answer 3

The directions simply say factor. Should I start off foiling then go from there, or would I factor out the GCF (x^2+2) first?

Answer 4

lol definitely do that

Answer 5

then sum like terms

Answer 6

(x^2+2)(3a+10)

Answer 7

Thank you, I understand how to do the problem now. Thank you very much!

Answer 8

Np!, you pretty much solved it yourself :D

Answer 9

(x^(2)+2)(a+3)+(x^(2)+2)(2a+7)

Factor out the GCF of (x^(2)+2) from each term in the polynomial.
(x^(2)+2)((a+3))+(x^(2)+2)((2a+7))

Factor out the GCF of (x^(2)+2) from (x^(2)+2)(a+3)+(x^(2)+2)(2a+7).
(x^(2)+2)((a+3)+(2a+7))

Remove the parentheses that are not needed from the expression.
(x^(2)+2)(a+3+2a+7)

Since a and 2a are like terms, add 2a to a to get 3a.
(x^(2)+2)(3a+3+7)

Add 7 to 3 to get 10.
(x^(2)+2)(3a+10)