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A certain polynomial p(x) leaves a remainder of a when divided by x - a, a remainder of b when divided by x - b, and a remainder of c when divided by x - c, where a, b, and c are different. What is the remainder when p(x) is divided by (x - a)(x - b)(x - c)?

 Feb 26, 2021
 #1
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The remainder is x^2 - (a + b + c)*x + (ab + ac + bc).

 Feb 26, 2021

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