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
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"