Question

How do you factor the trinomial `2x^2 + 13x + 15`?

Answer 1

Factor trinomial `f(x) = 2x^2 + 13x + 15.`

Ans: f(x) = (x + 5)(2x + 3)

Explanation:

I use the factoring ac method.
Factor pairs of (ac = 30) --> (2, 15)(3, 10). This sum is 13 = b.
Replace in the equation 13x by 10x + 3x.
`f(x) = 2x^2 + 10x + 3x + 15 = 2x(x + 5) + 3(x + 5) = (x + 5)(2x + 3)`