Factor Theorem.

Question

given the x+2 and 3x-1 are factors of the expression 3x^3-10x^2+px+q, find the values of p and q. Hence, find the third factor of the expression.

 

I already found that p=-27 and q=10 but i don't know how to find a factor. It would be nice if someone explained.

Answer 1

I don’t know where you are in your curriculum. I would do long polynomial division, dividing by one of the known factors. Then you’ll get a quadratic, which you can probably factor on sight.