Question

Please help , factor 6x^2-33x+15 A. 3(2x-5)(x+1) B. 3(x+1)(2x+5) C. 3(2x-1)(x+5) D. 3(x-5)(2x-1)

Answer 1

D

Explanation:

Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too

Answer 2

3(2x-1 )(x-5 )

Explanation:

6x^2-33x+15

Factor out the greatest common factor

3(2x^2 -11x +5)

Factor inside the parentheses

3(2x )(x )

We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative

3(2x-1 )(x-5 )

2 * -5 + -1 = -10-1 = -11