Factor the four-term polynomial by grouping.
-7y - 77 + xy - 11x
A)(x - 11)(7y + x)
B)(y - 11x)(7 + x)
C)(y - 11)(7 + x)
D)(x - 11)(y + 7)

Question

Quizplus · Accepted Answer

We can group the terms 7y and xy to factor out a y:
7y + xy = y(7 + x)
Similarly, we can group -77 and -11x to factor out a -11:
-77 - 11x = -11(7 + x)
Putting these two factorizations together, we get:
7y - 77 + xy - 11x = y(7 + x) - 11(7 + x) = (y - 11)(7 + x) First, group together the terms with a common factor:
7y - 77 + xy - 11x = 7(y-11) + x(y-11)
Notice that both terms have a factor of (y-11). Now factor out this common factor:
= (y-11)(7+x)
Thus, the answer is (C).

Factor the Four-Term Polynomial by Grouping