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

Question

P(x)
D(x)
= Q(x) +
R(x)
D(x)
.
P(x) = 10x3 + x2 − 21x + 9, D(x) = 5x − 7
P(x)
D(x)
=
2x2+3x
Incorrect: Your answer is incorrect.

Also how is this incorrect? what is the right answer that is throwing me off?

Answer 1

the quotient is indeed 2x^2 + 3x
There is a remainder of 9.

So,
P(x) = (5x-7)(2x^2+3x) + 9

Not sure why your answer is marked incorrect, since you have the quotient right. Maybe you had to supply both Q and R.

P(x)/(5x-7) = 2x^2+3x + 9/(5x-7)