What is the remainder when dividing #(y^2 -2y+ 2)# by # (y-2)#?

1 Answer
Jul 2, 2017

#+2#

Explanation:

#"using the divisor as a factor in the numerator gives"#

#"consider the numerator"#

#color(red)(y)(y-2)color(magenta)(+2y)-2y+2#

#=color(red)(y)(y-2)+2#

#"quotient "=color(red)(y)," remainder "=+2#

#rArr(y^2-2y+2)/(y-2)=y+2/(y-2)#