Factor 15x^3-5x^2+6x-2 by grouping. what is the resulting expression?

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

I'll break it down:

You start off with 15x^3 - 5x^2 + 6x - 2

You first group the first two terms together, and then the last two pairs together: (15x^3 - 5x^2) (6x - 2)

Then you simplify (just factor out as much as you can): 5x^2(3x - 1) 2(3x - 1)

Then you take the terms that you get from doing that.

To find the First Term:

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

(5x^2 + 2)

To find the Second Term:

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

(3x - 1)

So your terms are (5x^2 + 2) and (3x -1)

Final (5x^2 + 2)(3x - 1)