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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.)

 

Thank you!

 Nov 15, 2020
 #1
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The sum of the coefficients is 4^15 - 3^15.

 Nov 15, 2020
 #2
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What have you already done?

 Nov 17, 2020
 #3
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I figured it out, thank you! I did it by finding a, b, and c, then finding g(x) which was (4^16-3^16)/2

Guest Nov 18, 2020
 #4
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ok, what did you get for     a,b,c   and      g(x)?

Melody  Nov 18, 2020

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