How do you factor 15x²-17x+2?

1 Answer
Jan 28, 2017

15x^2-17x+2 = (x-1)(15x-2)

Explanation:

Given:

15x^2-17x+2

Note that the sum of the coefficients is zero.

That is:

15-17+2 = 0

So we can deduce that x=1 is a zero and (x-1) a factor.

In order to get the leading term 15x^2 and the constant term 2, the other linear factor must be (15x-2)

So we have:

15x^2-17x+2 = (x-1)(15x-2)