] Let p(x) = x^2 , q(x) = 2x ^3 + 1, and r(x) = 7x^4 − 5x^3 − 6x − 2. Find p(q(x)) + r(x).
First p (q(x) =
(2x^3 +1)^2 = 4x^6 + 4x^3 + 1
then add r(x)
4x^6 + 7x^4 + 4x^3 -5x^3 - 6x -2 +1 =
4x^6 + 7x^4 - x^3 - 6x -1
+37146 
