Answer:
Correct option is B
Step-by-step explanation:
Note that
[tex]20x^2y=2\cdot 2\cdot 5\cdot x\cdot x\cdot y,[/tex]
[tex]56x^3=2\cdot 2\cdot 2\cdot 7\cdot x\cdot x\cdot x.[/tex]
If the mystery term is [tex]22x^3=2\cdot 11\cdot x\cdot x\cdot x,[/tex] then the
[tex]GCF(20x^2y,56x^3,22x^3)=2\cdot x\cdot x=2x^2.[/tex]
If the mysteyr term is [tex]24x^2y=2\cdot 2\cdot 2\cdot 3\cdot x\cdot x\cdot y,[/tex] then
[tex]GCF(20x^2y,56x^3,24x^2y)=2\cdot 2\cdot x\cdot x=4x^2.[/tex]
If the mysteyr term is [tex]26x^2y=2\cdot 13\cdot x\cdot x\cdot y,[/tex] then
[tex]GCF(20x^2y,56x^3,26x^2y)=2\cdot x\cdot x=2x^2.[/tex]
If the mysteyr term is [tex]28y^3=2\cdot 2\cdot 7\cdot y\cdot y\cdot y,[/tex] then
[tex]GCF(20x^2y,56x^3,28y^3)=2\cdot 2=4.[/tex]
Thus, correct option is B
Answer:
option (B) is correct.
Mystery term has to be [tex]24x^2y[/tex]
Step-by-step explanation:
Given : [tex]4x^2[/tex] is the GCF of the polynomial [tex]20x^2y + 56x^3 - ?[/tex]
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, [tex]4x^2[/tex] is the GCF of the polynomial [tex]20x^2y + 56x^3 - ?[/tex]
For unknown term , we have two conditions,
1) it has to be multiple of 4
2) it must have [tex]x^2[/tex] as a factor.
So out of given options only [tex]24x^2y[/tex] is a term which is both multiple of 4 and has [tex]x^2[/tex] as a factor.
Thus, Mystery term has to be [tex]24x^2y[/tex]
Thus, option (B) is correct.
