Let f(x)=x5+ax4+bx3+cx2+dx−420 where a,b,c,d are real parameters, be – InterviewSolution

1.	Let f(x)=x5+ax4+bx3+cx2+dx−420 where a,b,c,d are real parameters, be a polynomial. If all zeros of the polynomial f(x) are integers larger than 1, and f(4) is equal to k, then k is divisible by
Answer» Let $f (x) = x^{5} + a x^{4} + b x^{3} + c x^{2} + d x - 420$ where $a, b, c, d$ are real parameters, be a polynomial. If all zeros of the polynomial $f (x)$ are integers larger than $1,$ and $f (4)$ is equal to $k,$ then $k$ is divisible by

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