A polynomial graph is symmetric about the y-axis and intersects the x-axis only at

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

A polynomial graph is symmetric about the y-axis and intersects the x-axis only at x=±2x=\pm2. Which of the following could be its equation? (a) f(x)=x2−4f(x)=x^{2}-4 (b) f(x)=x(x2−4)f(x)=x(x^{2}-4) (c) f(x)=x4−4f(x)=x^{4}-4 (d) f(x)=x2−16f(x)=x^{2}-16

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