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Question Number 58612 by naka3546 last updated on 26/Apr/19

$$P\left(x\right)isamonic-fifthdegreepolynomialthatsatisfy$$$$P\left(1\right)=1$$$$P\left(2\right)=4$$$$P\left(3\right)=9$$$$P\left(4\right)=16$$$$P\left(5\right)=25$$$$P\left(6\right)=?$$$$$$

Answered by tanmay last updated on 26/Apr/19

$$p\left(x\right)=(x-1)(x-2)(x-3)(x-4)(x-5)+x^2$$$$p\left(6\right)=5\times 4\times 3\times 2\times 1+6^2$$$$=120+36=156$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

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