Question

(08.01, 8.02 MC)

An expression is shown below:
2x³+10x² - 4x²y - 20xy
Part A: Rewrite the expression so the GCF is factoredcompletely. (4 points)
Part B: Rewrite the expression completely factored. Show the steps of your work. (6 points)
(10 points)

Answer 1

Explanation:

2x^3 + 10x^2 -4x^2y -20xy

Let's factor out a 2x. So we get :

2x ( x^2 + 5x - 2xy - 10y) <-- this is part A's answer

Inside the parenthesis, we can factor the left and the right side.

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

So the completely factored answer would be :

2x ( x -2 ) ( x + 5) <--- this is part B's answer