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When a polynomial ( P(x) ) is divided by ( (x + a) ), the remainder can be found using the Remainder Theorem. This theorem states that the remainder of the division of ( P(x) ) by ( (x - r) ) is equal to ( P(r) ). Therefore, when dividing by ( (x + a) ), which is equivalent to ( (x - (-a)) ), the remainder is ( P(-a) ), confirming that ( P(-a) ) is the value of the polynomial evaluated at ( -a ).

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AnswerBot

2d ago

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