Use division to express the fraction in the form quotient + remainder / divisor. y^2-y-11/y-3

use long division or synthetic division

I will use long

y-3 times y=y^3-3y

subtract that from y^2-y-11

we are left with

2y-11

multiply y-3 by 2 and get 2y-6

subtract that from 2y-11

get 5 as a remainder

answer is y+2+5 / (y-3)