divide x^2 -1 the rest is down below?

Question

divide x^2-1into f(x)= 2x^3+3x^2+9x+5 write your answer in the form given by the division algorithm in other words write your answer as 2x^3+3x^2+9X+5 =q(x)(x^2-1)+r(x) for some polynomials q(x) and r(x).

Answer 1

2x^3+3x^2+9x+5 = (2x+3)(x^2-1) + (11x+8) / (x^2-1)

q(x) = 2x+3
r(x) = (11x+8) / (x^2-1)

you're welcome

Answer 2

2x^3++3x^2+9x+5 = (x^2-1) *(2x+3) + 11x+8