Question

Rewrite each rational function as a the sum of a quotient and a remainder where the degree of the remainders numerator is less than that of its denominator

Answer 1

//You need to factorise the two quadratics and divide where possible

x^2 + 3x + 2 = (x+2)(x+1)
x^2 - 4 = (x+2)(x-2)
y = (x+2)(x+1)/(x+2)(x-2)
y = (x+1)/(x-2)