Divide polynomials with remainders: binomial divisors

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Problem

a, left parenthesis, x, right parenthesis, equals, 5, x, start superscript, 2, end superscript, plus, 11, x, plus, 6, and b, left parenthesis, x, right parenthesis, equals, 5, x, plus, 1.
We can rewrite start fraction, a, left parenthesis, x, right parenthesis, divided by, b, left parenthesis, x, right parenthesis, end fraction as
q, left parenthesis, x, right parenthesis, plus, start fraction, r, left parenthesis, x, right parenthesis, divided by, b, left parenthesis, x, right parenthesis, end fraction
where q and r are polynomials and the degree of r is less than the degree of b.
What is the quotient, q, left parenthesis, x, right parenthesis?
q, left parenthesis, x, right parenthesis, equals
What is the remainder, r, left parenthesis, x, right parenthesis?
r, left parenthesis, x, right parenthesis, equals
Do 4 problems