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

4x2 is the GCF of this polynomial www.simplenews.me

4x2 is the GCF of this polynomial.

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

A. 22x3

B. 24x2y

C. 26x2y

D. 28y3


Answer:

option (B) is correct.

Mystery term has to be 24x2 y

step-by-step explanation:

Given : 4x2 is the GCF of the polynomial 20x2y + 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, 4x2 is the GCF of the polynomial 20x2y + 56x3 – ?

For unknown term , we have two conditions,

1) it has to be multiple of 4

2) it must have 4x2 as a factor.


So out of given options only 24xy is a term which is both multiple of 4 and has x as a factor.

Thus, Mystery term has to be 24xy

Thus, option (B) is correct.

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