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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.)

 Nov 18, 2020

Best Answer 

 #6
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Variants of this question keep popping up!

 Nov 19, 2020
 #1
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+1

You already asked this question.

Find the link and post it.

 Nov 18, 2020
 #2
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I did? Sorry! Ok, I will try to find it.....

 

After a lot of searching, I still can't find it! Did you see it, Melody? 

Guest Nov 18, 2020
 #3
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I JUST FOUND IT! https://web2.0calc.com/questions/polynomial-help-please_2

(BTW, wasn't me! someone else posted it)

 

But... I still need help to solve it, and that link just gives an answer. Please help!

Guest Nov 18, 2020
 #5
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Thanks guest :)

Melody  Nov 19, 2020
 #4
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Well I asked questions on that previous post.

No one has answered them.

 

I will admit up front that I have not finished the question. 

Finding f(x) is not super difficult but I did not finish the next step.

Maybe there is a nice short cut.

 

have you found f(x) yet?

 Nov 19, 2020
 #6
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+2
Best Answer

Variants of this question keep popping up!

Alan Nov 19, 2020
 #7
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Thanks Alan,

I never would have thought of that  g(1)  and   g(-1) method     frown

Melody  Nov 19, 2020
 #8
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Thanks Alan and Melody! That's really smart to substitute x=1 since that cancels the variables! Thanks so much!!!

Guest Nov 19, 2020

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