+0  
 
0
104
1
avatar

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 $(4) + (-5) = -1.$)

 Jun 1, 2020
 #1
avatar
0

The sum of the coeffcients of even degree is (-1 - 2)/2 = -3/2.

 Jun 1, 2020

13 Online Users

avatar