Browse · MATH Print → jmc algebra intermediate Problem Suppose f(x)=x2, and g(x) is a polynomial such that f(g(x))=4x2+4x+1. Enter all possible polynomials g(x), separated by commas. Solution — click to reveal Since f(x)=x2, f(g(x))=g(x)2. Therefore, g(x)2=4x2+4x+1=(2x+1)2 and g(x)=2x+1 or g(x)=−2x−1. Final answer 2x+1 ← Previous problem Next problem →