If P(x) is a polynomial with integer coefficients such that for 4 dist – InterviewSolution

InterviewSolution

1.	If P(x) is a polynomial with integer coefficients such that for 4 distinct integers `a, b, c, d,P(a) = P(b) = P(c) = P(d) = 3`, if `P(e) = 5`, (e is an integer) then
Answer» `P(a)=p(b)=P(c)=P(d)=3` `f(x)=P(x)-3=(x-a)(x-b)(x-c)(x-d)q(x)` `P(e)=5` `f(5)=2=(e-a)(e-b)(e-c)(e-d)q(e)` No integer solution for e.

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