Question

What is the factored form of this expression?

Answer 1

(x^2+3) ( 2x+5)

Explanation:

2x^3 + 5x^2 + 6x+15

We can use factoring by grouping.

Factor an x^2 from the first two terms and a 3 from the last two terms.

2x^3 + 5x^2 + 6x+15

x^2 ( 2x+5) + 3( 2x+5)

Now factor out (2x+5).

(2x+5) ( x^2 +3)

The factored form is

(x^2+3) ( 2x+5)