let P(x) is polinomial with integer coefficient s.t P(6)P(38)P(57)+19 is divided by 114. P(-13)=479 and P≥0 what is minimum value of P(0)?


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Question Number 192909 by uchihayahia last updated on 30/May/23

$l e t P (x) i s p o l i n o m i a l w i t h i n t e g e r$ $c o e f f i c i e n t s . t P (6) P (38) P (57) + 19 i s$ $d i v i d e d b y 114 . P (- 13) = 479 a n d P ⩾ 0$ $w h a t i s m i n i m u m v a l u e o f P (0) ?$
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