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Divide polynomials with remainders


Let a(x)=5x36x28x+9, and b(x)=x4+2x3+x+1.
When dividing a by b, we can find the unique quotient polynomial q and remainder polynomial r that satisfy the following equation:
where the degree of r(x) is less than the degree of b(x).
What is the quotient, q(x)?
What is the remainder, r(x)?