P-x-is-a-monic-fifth-degree-polynomial-that-satisfy-P-1-1-P-2-4-P-3-9-P-4-16-P-5-25-P-6-

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

P (x) i s a m o n i c - f i f t h d e g r e e p o l y n o m i a l t h a t s a t i s f y

P (1) = 1

P (2) = 4

P (3) = 9

P (4) = 16

P (5) = 25

P (6) = ?

Answered by tanmay last updated on 26/Apr/19

p (x) = (x - 1) (x - 2) (x - 3) (x - 4) (x - 5) + x^{2}

p (6) = 5 \times 4 \times 3 \times 2 \times 1 + 6^{2}

= 120 + 36 = 156

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