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Let \(f(x)\) be a monic cubic polynomial, and let  \(p(x), q(x)\) and \(r(x)\) be polynomials such that \(f(x)=p(x)(x-1)+1=q(x)(x-2)+1=r(x)(x-3)+1\)
Find \(f(4)\)

 

I have tried 1, and f(4) is not 1.

 

 

All help is appreciated! Thanks!!!

 Sep 8, 2020
 #1
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f(4) = 38.

 Sep 8, 2020
 #2
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As follows:

 

 Sep 9, 2020

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