Question

Factor out -1/4 out of -1/2x-5/4y

Answer 1

Greetings!


`(1)/(2)x- (5)/(4)y`
Factor -1/4. How? To factor a polynomial, you divide all the terms by the GCF (The Greatest Common Multiple.)

`=-1/4((1)/(2)x/(-1/4)- (5)/(4)y/(-1/4))`
Simplify.

`=-1/4((1)/(2)x*(-4/1)- (5)/(4)y*(-4/1))`

`=-1/4((-4)/(2)x- (-20)/(4)y)`
Reduce Fractions to simplest form.

`=-1/4(-2x-(-5y))`
The Factor Polynomial Is:

`=-1/4(-2x+5y)`

Hope this helps.
-Benjamin