Answer:
q(x) = 3x^2 + 6x + 3 and r(x) = 3x + 5.
Step-by-step explanation:
Using Long Division:
3x^2+x+3 )9x^4+21x^3+24x^2+24x+14 (3x^2+6x+3 <---- Quotient
9x^4+ 3x^3 + 9x^2
---------------------------
18x^3+15x^2+24x
18x^3+6x^2+18x
-----------------------
9x^2+6x+14
9x^2+3x+9
----------------
3x + 5 <---------------remainder
