Show that if the polynomial f(x)=ax^3+3bx^2+3cx+d is divided exactly by g(x)=ax^2+2bx+c, then f(x) is a perfect cube, while g(x) is a perfect square?
1 Answer
Feb 2, 2018
See below.
Explanation:
Given
and such that
Now grouping coeficients
solving for
and substituting into