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).
p(q(x)) means we are putting q into p ....so....
(2x^3 + 1)^2 = 4x^6 + 4x^3 + 1
Adding this to r(x) gives us
7x^4 + 4x^6 - x^3 - 6x - 1