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Let $f(x)$ be a quadratic polynomial such that $f(-4) = -22,$ $f(-1)=2$, and $f(2)=-1.$ Let $g(x) = f(x)^{16}.$ Find the sum of the coefficients of the terms in $g(x)$ with even exponents. For example, the sum of the coefficients of the terms in \(-7x^3+4x^2+10x-5\) with even exponents is \((4)+(-5)=-1\)

 Dec 13, 2020
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 Dec 29, 2020

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