# 4x2 is the gcf of this polynomial. 20x2y + 56x3 – ? which could be the mystery term?

4x2 is the GCF of this polynomial.

## 20x2y + 56x3 – ? Which could be the mystery term?

A. 22x3

C. 26x2y

D. 28y3

**Answer:**

*option (B) is correct.*

*Mystery term has to be 24x ^{2 }y*

*step-by-step explanation:*

*Given : 4x ^{2} is the GCF of the polynomial 20x^{2}y + 56x3 – ?*

*We have to find the mystery term '?'*

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

*Here, 4x ^{2} is the GCF of the polynomial 20x^{2}y + 56x3 – ?*

*For unknown term , we have two conditions,*

*1) it has to be multiple of 4*

*2) it must have 4x ^{2} as a factor.*

*So out of given options only 24x ^{2 }y is a term which is both multiple of 4 and has x^{2 } as a factor.*

*Thus, Mystery term has to be 24x ^{2 }y*

*Thus, option (B) is correct.*

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