Factors of 2a square plus a-15?

Answer 1

-13

Answer 2

To solve factors of 2a2 + a - 15, use these steps:

1) What are the factors of 2a2? The choices are 2a2 x 1 and 2a x a

2) What are the factors of 15? The choices are 1x15 and 3x5.

We can setup the factors to look like this:

(A ± B) * (C ± D)

Because the last term in the expression is negatie (-15), the signs must be opposite. Therefore:

(A + B) * (C - D)

Since the middle term is positive, the product of B*C (which is positive) must be greater than the product of A*D (which is negative).

At this point, you simply need to guess and check the possibilities. Substitute 2a and a (from step 1) for A and C, and 3 and 5 (from step 2) for B and D to yield:

(2a - 5) * (a + 3)

Therefore, the factos of 2a2 + a - 15 are (2a - 5) and (a + 3)