need help solving this

Question

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),

and express the quotient P(x)/D(x) in the form P(x)D(x) = Q(x) + R(x)D(x)

.P(x) = x5 + x4 − 6x3 + 5x + 5, D(x) = x2 + x − 1

Answer 1

Since the divisor is a quadratic, you cannot use synthetic division.

P(x) = x³ -5x + 5

Q(x) = (-5x + 10) / (x² + x -1)

If you don't get the above, please ask for more help.

Answer 2

See the video for the solution.

https://www.youtube.com/watch?v=JviPmU69RDw&ab_channel=fjvideo