Question

4x2 is the GCF of this polynomial.

Answer 1

Answer:

Correct option is B

Step-by-step explanation:

Note that

$20x^2y=2\cdot 2\cdot 5\cdot x\cdot x\cdot y,$

$56x^3=2\cdot 2\cdot 2\cdot 7\cdot x\cdot x\cdot x.$

If the mystery term is $22x^3=2\cdot 11\cdot x\cdot x\cdot x,$ then the

$GCF(20x^2y,56x^3,22x^3)=2\cdot x\cdot x=2x^2.$

If the mysteyr term is $24x^2y=2\cdot 2\cdot 2\cdot 3\cdot x\cdot x\cdot y,$ then

$GCF(20x^2y,56x^3,24x^2y)=2\cdot 2\cdot x\cdot x=4x^2.$

If the mysteyr term is $26x^2y=2\cdot 13\cdot x\cdot x\cdot y,$ then

$GCF(20x^2y,56x^3,26x^2y)=2\cdot x\cdot x=2x^2.$

If the mysteyr term is $28y^3=2\cdot 2\cdot 7\cdot y\cdot y\cdot y,$ then

$GCF(20x^2y,56x^3,28y^3)=2\cdot 2=4.$

Thus, correct option is B

Answer 2

Answer:

option (B) is correct.

Mystery term has to be $24x^2y$

Step-by-step explanation:

 Given : $4x^2$ is the GCF of the polynomial $20x^2y + 56x^3 - ?$

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 $20x^2y + 56x^3 - ?$

For unknown term , we have two conditions,

1) it has to be multiple of 4

2) it must have $x^2$ as a factor.

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

Thus, Mystery term has to be $24x^2y$

Thus, option (B) is correct.