How can I change f(x) = (2x-1)/(x+2) into the form A + B/(x+2) where A and B are both integers?

1 Answer
Aug 20, 2017

2-5/(x+2)

Explanation:

"using "(x+2)" as a factor in the numerator"

"consider the numerator"

2(x+2)color(magenta)(-4)-1

=2(x+2)-5

rArr(2(x+2)-5)/(x+2)=2-5/(x+2)

color(blue)"As a check"

2-5/(x+2)

=(2(x+2))/(x+2)-5/(x+2)

=(2x+4-5)/(x+2)=(2x-1)/(x+2)larr" True"