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When the polynomial \(f(x)\) is divided by \((x-3)\) the remainder is 15. When \(f(x)\) is divided by \((x-1)^2\) the remainder is \(2x+1.\) Find the remainder when \(f(x)\) is divided by \((x-3)(x-1)^2 .\)

 

Thanks in advance.

 Aug 23, 2020
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The remainder is 6x^2 - 3x + 1.

 Aug 23, 2020

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