Two polynomials P and D are given. Use either synthetic or long division to divide

Question

P(x)
by
D(x),
and express P in the form
P(x) = D(x) · Q(x) + R(x).
P(x) = −x3 − 4x + 3, D(x) = x + 1

Answer 1

so do the division. You can find videos on either method, which are hard to show here, where text formatting is impossible.

You should find that
-x^3 - 4x + 3 = (x+1)(-x^2+x-5) + 8