Let a(x)=3x^3+1a(x)=3x 3 +1a, left parenthesis, x, right parenthesis, equals, 3, x, cubed, plus, 1, and b(x)=x^2b(x)=x 2 b, left parenthesis, x, right parenthesis, equals, x, squared. When dividing aaa by bbb, we can find the unique quotient polynomial qqq and remainder polynomial rrr that satisfy the following equation: \dfrac{a(x)}{b(x)}=q(x) + \dfrac{r(x)}{b(x)} b(x) a(x) =q(x)+ b(x) r(x) start fraction, a, left parenthesis, x, right parenthesis, divided by, b, left parenthesis, x, right parenthesis, end fraction, equals, 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 the degree of r(x)r(x)r, left parenthesis, x, right parenthesis is less than the degree of b(x)b(x)b, left parenthesis, x, right parenthesis. What is the quotient, q(x)q(x)q, left parenthesis, x, right parenthesis? q(x)=q(x)=q, left parenthesis, x, right parenthesis, equals What is the remainder, r(x)r(x)r, left parenthesis, x, right parenthesis? r(x)=r(x)=r, left parenthesis, x, right parenthesis, equals