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Monique is factoring the expression 4x+16xy Her work is shown below.

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4x(0+4y)

Which best describes the accuracy of Monique’s solution?



AMonique’s solution is accurate.

BMonique made an error when listing the factors, which affected the GCF and the factored expression.

CMonique made an error when determining the GCF from her list of factors.

DMonique made an error when writing the factored expression.

Verified Answer :

musenmuñuy
Dbecause it should be 4x(1+4y)

Answer with explanation:

Monique is factoring the expression 4x+16xy Her work is shown below.  

Factors of 4 x→: 1, 2, 4, x

Factors of 16 x y:→ 1, 2, 4, 8, 16, x, y

G CF: 4 x

Factored expression: 4 x(0+4 y)→Incorrect

→4 x +16 x y= 4 x + 4 4 x y

  = 4 x (1+4 y)

while writing the factored expression, we have to break the terms into smaller  terms that is into monomials and  then we should take out the common factor between the two terms.

Option D:  Monique made an error when writing the factored expression.

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