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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 use polynomial long division. ### Step 1: Arrange the polynomials First, we need to write both polynomials in standard form. The polynomial \( g(x) \) can be rearranged as: \[ g(x) = -x + x^2 + 1 = x^2 - x + 1 \] ...
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