# 4x^{2} is the gcf of this polynomial. 20x^{2}y + 56x^{3} - ? Which could be the mystery term?

22x^{3}, 24x^{2}y, 26x^{2}y, 28y^{3}

**Solution:**

Given, the polynomial is 20x^{2}y + 56x^{3} -

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,

- It has to be multiple of 4
- It must have x
^{2}as a factor

Now, 20x^{2}y = 2.2.5.x.x.y

56x^{3} = 2.2.2.7.x.x.x

From the given options,

When the mystery term is 22x^{3}

22x^{3} = 2.11.x.x.x

Then, GCF = 2x^{2}

When the mystery term is 24x^{2}y

24x^{2}y = 2.2.2.3.x.x.y

GCF = 4x^{2}

When the mystery term is 26x^{2}y

26x^{2}y = 2.13.x.x.y

GCF = 2x^{2}

When the mystery term is 28y^{3}

28y^{3} = 2.2.7.y.y.y

GCF = 4

Therefore, the mystery term is 24x^{2}y.

## 4x^{2} is the gcf of this polynomial. 20x^{2}y + 56x^{3} - ? Which could be the mystery term?

**Summary:**

4x^{2} is the gcf of the polynomial 20x^{2}y + 56x^{3} - . The mystery term is 24x^{2}y.

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