MathDB
Show that(x-a)^kQ(x) has at least k+1 non zero coefficients

Source:

January 25, 2011
algebrapolynomialinductionintegrationalgebra unsolved

Problem Statement

Prove that if P(x)=(xāˆ’a)kQ(x)P(x) = (x-a)^kQ(x), where kk is a positive integer, aa is a nonzero real number, Q(x)Q(x) is a nonzero polynomial, then P(x)P(x) has at least k+1k + 1 nonzero coefficients.
Back to ProblemsView on AoPS