Answer:
¼(-2x-5y)
Step-by-step explanation:
if the common factor is ¼ then it is necessary to find a number Z than when multiplied by ¼ gives -1/2x and another number W than when multiplied by ¼ gives -5/4y, so:
[tex]\frac{1}{4}Z=-\frac{1}{2}x[/tex]
[tex]Z=-\frac{4}{2}x=-2x[/tex]
and
[tex]\frac{1}{4}W=-\frac{5}{4}y[/tex]
[tex]W=-\frac{(5)(4)}{4}y=-5y[/tex]
so the factor will be ¼(-2x-5y)
