4x2 is the GCF of this polynomial. 20x2y + 56x3 – ? Which could be the mystery term? A. 22x3 B. 24x2y C. 26x2y D. 28y3

QUESTION POSTED AT 01/06/2020 - 02:58 PM

Answered by admin AT 01/06/2020 - 02:58 PM

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

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