Question

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),and express P in the form P(x) = D(x) · Q(x) + R(x).

a) P(x) = −x^3 − 5x + 3, D(x) = x + 1

b) P(x) = 27x^5 − 9x^4 + 3x^2 − 3, D(x) = 3x^2 − 3x + 1

Answer 1

it is pretty hard to show this in this format. Try:
www.wolframalpha.com

Answer 2

in format
( −x^3 − 5x + 3) / (x + 1)

Answer 3

−x^3 − 5x + 3, D(x) = x + 1

-1 0 -5...3
....1..-1..6
----------------
-1..1..-6..9
so that's (x+1)(-x^2+x-6) R 9