SOLUTION: 6y^2 + 27y - 15 can you show me how to factor this problem completely step by step I have a few of these and i need to now each step please

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 6y^2 + 27y - 15 can you show me how to factor this problem completely step by step I have a few of these and i need to now each step please      Log On


   

Question 327709: 6y^2 + 27y - 15
can you show me how to factor this problem completely step by step I have a few of these and i need to now each step please
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
first, check for common factors (of ALL the terms)

in this case , all the terms are divisible by 3 , so that can be factored out ___ 3(2x^2 + 9x - 5)

2x^2 has factors of 2x and x

-5 has factors of ±5 and ±1

you are looking for sets of factors of the 1st and last terms that will result in 9x when FOILed

x times -1 is -x ___ 2x times 5 is 10x ___ -x + 10x = 9x

so the factors are ___ 3 (2x - 1) (x + 5)