4x² is the gcf of this polynomial. 20x²y + 56x³ - ? Which could be the mystery term?
22x³, 24x²y, 26x²y, 28y³

Solution:

Given, the polynomial is 20x²y + 56x³ -

GCF of the polynomial is 4x2

GCF stands for the greatest common factor. GCF is the highest common factor that can divide all the given terms.

For unknown terms, we have two conditions,

1. It has to be multiple of 4
2. It must have x² as a factor

Now, 20x²y = 2.2.5.x.x.y

56x³ = 2.2.2.7.x.x.x

From the given options,

When the mystery term is 22x³

22x³ = 2.11.x.x.x

Then, GCF = 2x²

When the mystery term is 24x²y

24x²y = 2.2.2.3.x.x.y

GCF = 4x²

When the mystery term is 26x²y

26x²y = 2.13.x.x.y

GCF = 2x²

When the mystery term is 28y³

28y³ = 2.2.7.y.y.y

GCF = 4

Therefore, the mystery term is 24x²y.

4x² is the gcf of this polynomial. 20x²y + 56x³ - ? Which could be the mystery term?

Summary:

4x² is the gcf of the polynomial 20x²y + 56x³ - . The mystery term is 24x²y.