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Divide 3x^2+x^3-3x+5by x-1-x^2, and veri...

Divide `3x^2+x^3-3x+5`by `x-1-x^2`, and verify the division algorithm.

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To divide the polynomial \(3x^2 + x^3 - 3x + 5\) by \(x - 1 - x^2\) and verify the division algorithm, we will follow these steps: ### Step 1: Arrange the Polynomials First, we need to arrange both the dividend and the divisor in standard form (decreasing order of powers). - Dividend: \(x^3 + 3x^2 - 3x + 5\) - Divisor: \(-x^2 + x - 1\) ...
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