• anonymous
$Using \ factor \ theorem,\ prove \ that \a + b, \ b + c \ and \ c + a \ are \ the \\ factors \ of \ (a+b+c)^3 - (a^3 + b^3 + c^3)$ 2. If f(x) = x4 - 2x3 + 3x2 - ax + b is a polynomial such that when it is divided by x - 1 and x + 1, the remainder are 5 and 19 respectively. Determine the remainder when f(x) is divided by x - 2.
Mathematics

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