Which of the following expressions is this one equivalent to?

(3x^3+15x^2+17x+3) / x+5

A. x^3-2x+5 + (7/x+5)

B. 3x-17 + (88/x+5)

C. 3x^2+17 - (82/x+5)

D. 3x^2-5x-8 - (37/x+5)

... ?

We know that

the euclid's division A/B implies A = BQ + R

wher Q = the quotient, and R is the remainder

after doing euclid's division, (3x^3+15x^2+17x+3) / x+5 = 3x²+17and R = - 82

so (3x^3+15x^2+17x+3 = (3x²+17) (x+5) - 82

the answer is x^3+15x^2+17x+3 = (3x²+17) (x+5) - 82