SOLUTION: Factor: Factor the product of polynomial 15w^3+5w^2-6w-2 Please show me steps by steps to get the answer. Thanks

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Factor: Factor the product of polynomial 15w^3+5w^2-6w-2 Please show me steps by steps to get the answer. Thanks      Log On


   

Question 462334: Factor: Factor the product of polynomial
15w^3+5w^2-6w-2
Please show me steps by steps to get the answer. Thanks
Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
Factor: Factor the product of polynomial
15w^3+5w^2-6w-2
First step is to express 15w^3 as a function of 5w^2 to get
5w^2*(3w) +5w^2 -6w -2
Rearrange to get
5w^2(3w+1) -6w -2 (express -6w-2 into -2(3w+1) to get
5w^2(3w+1) -2(3w+1)
Since (3w+1) is a common factor, you can rearrange expression to get
(3w+1) (5w^2-2)
Regards,
Roy