Michael B. answered 03/26/13
Seasoned and experienced tutor with extensive science background
3r2 + 8r -3
Where
a = 3
b = 8
c = -3
You use the product of a*c = -9
Now ask yourself what factors of -9 could add up to 8?
it's gonna be 9 and -1 so you write that out in place of 8r
3r2 + 9r - 1r -3
Now separate your common terms
3r(r + 3) - 1(r+3)
And finally
(3r - 1)(r + 3)