Question

1. Factor the following using the GCF: 10xy3 - 25x2y2 + 15xy

A. 5x(2y2 - 5xy2 + 3y)
B. 2x(5y3 - 12xy2 + 7y)
C. 5xy(2y2 - 5xy + 3)
2. Solve by factoring the GCF: 16x2 - 4x = 0
A. {0, 4}
B. {0, 1/4}
C. {-1, 4}
D. {4, -4}

Answer 1

1. Your answer would be C. 5xy(2y² - 5xy + 3)
This is because you can see that 5xy would be the greatest common factor of all of the terms given, and C is the only option where 5xy is outside of the bracket.

2. The greatest common factor of 16x² - 4x would be 4x, so you'd get 4x(4x - 1) = 0, which leaves your solution as {0, 1/4}, which is answer B.

I hope this helps!