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# Level Algebra: Hard

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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)\$ that have even degree. (For example, the sum of the coefficients of the terms in \$-7x^3 + 4x^2 + 10x - 5\$ that have even degree is \$(4) + (-5) = -1.\$)

Jul 6, 2020

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Aug 13, 2020