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Algebra Level pending

Let P(x) be a fourth degree monic polynomial such that,

P(1) = P(2) = P(3) = 0

Then what is the value of P(4) - P(0) ?


The answer is 24.

Adithya Rajeev by Adithya Rajeev , 23, India

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1 solution

Harshu P
Aug 29, 2015

Let the polynomial be p(x)=x(x-1)(x-2)(x-3)

0 Helpful 0 Interesting 0 Brilliant 0 Confused

How did you come up with the conclusion that it's fourth root must be 0 0 ?

Tapas Mazumdar - 4 years, 9 months ago

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