Maria is attempting to factor the expression 2xy+24x-7y-84. In her first step, she rewrites the expression as 2x(y+12)+7(-y-12). Which of the following statements is true about Maria's work?
A.
The first step is correct. She should continue to factor the expression.
B.
She factored out a positive GCF in the second group of factors, but it should have been negative.
C.
She factored out a negative GCF in the second group of factors, but it should have been positive.
D.
She factored out a positive GCF in the first group of factors, but it should have been negative.

Question

Maria is attempting to factor the expression 2xy+24x-7y-84. In her first step, she rewrites the expression as 2x(y+12)+7(-y-12). Which of the following statements is true about Maria's work?
A.
The first step is correct. She should continue to factor the expression.
B.
She factored out a positive GCF in the second group of factors, but it should have been negative.
C.
She factored out a negative GCF in the second group of factors, but it should have been positive.
D.
She factored out a positive GCF in the first group of factors, but it should have been negative.

cwrw238 · Answer

the correct first step is
2x(2y + 12) - 7(2x + 12)