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Suppose $f$ is a polynomial such that $f(0) = 47$, $f(1) = 32$, $f(2) = -13$, and $f(3)=16$. What is the sum of the coefficients of $f$?

 Mar 25, 2020
 #1
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If  f((0)  =  47.....then  the  constant term  is  47

 

If f(1)  =   32......then the  sum of the coefficients +  the  constant term    = 32

 

This  implies that

 

sum of coefficients  + constant term =   32

 

sum of coefficients  + 47  =  32         subtract  47  from both sides

 

sum of the coefficients    =    -15

 

 

cool cool cool

 Mar 25, 2020

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