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

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

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To divide the polynomial \( p(x) = x^3 - 3x^2 + 5x - 3 \) by \( g(x) = x^2 - 2 \) and find the quotient and remainder, we will use polynomial long division. ### Step-by-Step Solution: 1. **Set Up the Division**: We will divide \( p(x) \) by \( g(x) \): \[ \text{Divide } x^3 - 3x^2 + 5x - 3 \text{ by } x^2 - 2. ...
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