6
QuizMultiple Choice

Factoring Polynomials: GCF

Question 6 • Common Core Algebra I B-IC

What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?

Answer
A
5xy
B
15x3y
C
45x3y5
D
75x5y7

Explanation

Find the greatest common factor of the coefficients: the GCF of 60, 45, and 75 is 15. For each variable, use the smallest exponent appearing in all three terms: the smallest power of x is x³, and the smallest power of y is y¹. Therefore, the GCF is 15x³y, which is choice B.

AI-written and checked against the verified answer.

Previous
Next