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For what value of b will the polynomial P(x) = 4x^3 - 3x^2 + bx + 6 have the same remainder when it is divided by x - 1 and by x + 3?

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Hint:
P(x) will have the same remainder when divided by (x-1) and (x+3) if and only if
P(1)=P(-3).

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