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數學高手請幫幫忙!

發問:

Given that g(x)=2x^49 +1 ,find the remainder when a) g(x) is divided by x+1 b) g(x+1) is divided by x+2 求步驟/.

最佳解答:

Given that g(x)=2x^49 +1 ,find the remainder when a) g(x) is divided by x+1 By remainder theorem, Remainder = g(-1) =2(-1)^49 + 1 = -2+1 = -1 b) g(x+1) is divided by x+2 By remainder theorem, Remainder = g(-2+1) = 2(-2+1)^49 + 1 = 2(-1)^49 + 1 = -1 (from (a))

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