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Divide the polynomial p(x) by the polyn...

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :`p(x)=x^4-3x^2+4x+5,g(x)=x^2+1-x`

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To divide the polynomial \( p(x) = x^4 - 3x^2 + 4x + 5 \) by the polynomial \( g(x) = x^2 + 1 - x \), we will follow the polynomial long division method. ### Step-by-Step Solution: 1. **Rearrange \( g(x) \)**: First, we can rearrange \( g(x) \) for clarity: \[ g(x) = x^2 - x + 1 ...
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