Question

2x3y + 18xy − 10x2y − 90y

Part A: Rewrite the expression so that the GCF is factored completely.

Part B: After factoring out the GCF...factor the polynomial expression completely using group factoring. Show the steps of your work.

Answer 1

A. 2y is the GCF and you can tell that by it being the largest number that goes into all. Each term also has a y, but not all have an x.

2y(x^3 - 5x^2 + 9x - 45)

B. You can factor the remaining using the splitting method.

2y(x - 5)(x^2 + 9)