All I see are remainders

Algebra Level pending

With constants A , B A,B , for the polynomial P ( x ) = x 5 + 2 x 3 + A x + B P(x) = x^5 + 2x^3 +Ax + B yields a remainder 2 when divided by x 1 x-1 . When P ( x ) P(x) is divided by x + 3 x + 3 , the remainder is 314 -314 . Find the values of A A and B B .

A = 2 , B = 4 A=2,B=4 A = 4 , B = 5 A=4,B=-5 A = 3 , B = 5 A=3,B=-5 A = 5 , B = 4 A=-5,B=4

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