Factor. Check by multiplying.
-$\frac{1}{2} x-\frac{5}{2} y+\frac{7}{2}$
A) $\frac{1}{2}\left(x-\frac{5}{2} y+\frac{7}{2}\right)$
B) $\frac{1}{2}(x-5 y+7)$
C) $\frac{1}{2}(x+5 y-7)$
D) $2(x-5 y+7)$

Question

Quizplus · Accepted Answer

Each term in the expression $\frac{1}{2} x-\frac{5}{2} y+\frac{7}{2}$ can be factored out by $\frac{1}{2}$, resulting in $\frac{1}{2}(x-5y+7)$, which matches choice B.

Factor Check by Multiplying 12x−52y+72\frac{1}{2} x-\frac{5}{2} y+\frac{7}{2}21​x−25​y+27​ A) 12(x−52y+72)\frac{1}{2}\left(x-\frac{5}{2} y+\frac{7}{2}\right)21​(x−25​y+27​) B) 12(x−5y+7)\frac{1}{2}(x-5 y+7)21​(x−5y+7)

Factor Check by Multiplying $\frac{1}{2} x-\frac{5}{2} y+\frac{7}{2}$ A) $\frac{1}{2}\left(x-\frac{5}{2} y+\frac{7}{2}\right)$ B) $\frac{1}{2}(x-5 y+7)$