Question

what is the factorization of x2+7x+10

Answer 1

well, it has to look like (x + ?)(x + ?) because you have 1x^2 and all terms are positive.
so what two numbers add up to 7 but multiply to 10?

Answer 2

2 add up to 7 but 5 can be multiply by 10 so is that it?

Answer 3

2 + 5 = 7 and 2 x 5 = 10, so yes, that works

Answer 4

(x+2)(x+5)