# For what value of c will the polynomial #P(x)=-2x^3+cx^2-5x+2# have the same remainder when it is divided by x-2 and x+1?

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Noah G
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Jan 8, 2017

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The remainder theorem states that when a polynomial

Thus, the remainder when

The remainder when

Setting the two as being equal, we have:

#3c = 33#

#c = 11#

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