Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Suppose that f is a degree 4 polynomial with integer coefficients such that for some distinct integers a<b<c<d we have f(a) =f(b)=f(c)=f(d)=0.

show that there is no integer k such that f(k)=3.

if f(0) = 4, what is f?

Suppoe that f i a degee i polynomial with integer corficients ach that for some distinet ategs eccecdwe have fa) - F) - fe) - 0 -a (A) Show that there o ateger kah that fR)- (b) If s0) -4 what la
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Transcribed Image Text:Suppoe that f i a degee i polynomial with integer corficients ach that for some distinet ategs eccecdwe have fa) - F) - fe) - 0 -a (A) Show that there o ateger kah that fR)- (b) If s0) -4 what la
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