Apply division algorithm to find the quotient q(x) and remainder r(x) on dividing f(x) by g(x).
f(x) = 4x3 + 8x2 + 8x + 7, g(x)= 2x2 – x + 1.
Given,
f(x) = 4x3 + 8x2 + 8x + 7 and g(x)= 2x2 – x + 1
Thus, q(x) = 15x + 10 and r(x) = 3x – 32