olymmath

AHSME 1983 Problem 18

    Let ff be a polynomial function such that, for all real xx, f(x2+1)=x4+5x2+3f(x^2 + 1) = x^4 + 5x^2 + 3. For all real x,f(x2−1)x, f(x^2-1) is (A) x4+5x2+1(B) x4+x2−3(C) x4−5x2+1(D) x4+x2+3(E) none of these\textbf{(A)}\ x^4+5x^2+1 \textbf{(B)}\ x^4+x^2-3 \textbf{(C)}\ x^4-5x^2+1 \textbf{(D)}\ x^4+x^2+3 \textbf{(E)}\ \text{none of these}

    Dataset text NuminaMath-1.5. Quoted with source.

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