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Divide 3x^3+x^2+2x+5by 1+2x+x^2....

Divide `3x^3+x^2+2x+5`by `1+2x+x^2`.

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To divide the polynomial \(3x^3 + x^2 + 2x + 5\) by \(1 + 2x + x^2\), we will use polynomial long division. Here are the steps: ### Step 1: Set up the division We write the divisor \(1 + 2x + x^2\) and the dividend \(3x^3 + x^2 + 2x + 5\) in long division format. \[ \begin{array}{r|l} 1 + 2x + x^2 & 3x^3 + x^2 + 2x + 5 \\ ...
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