Question

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

Answer 1

(2x + 3)

Explanation:

`2x^2 + 5x + 3`

Factor by grouping:

`2x^2 + 2x + 3x + 3`

`2x(x + 1) + 3(x + 1)`

`(2x + 3)(x + 1)`

Then, take the factor that isn't (x + 1) so you get:

`(2x + 3)`

which is the answer.