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If p(x)=x^(5)+4x^(4)-3x^(2)+1 " and" g(...

If `p(x)=x^(5)+4x^(4)-3x^(2)+1 " and" g(x)=x^(2)+2`, then divide p(x) by g(x) and find quotient q(x) and remainder r(x).

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To divide the polynomial \( p(x) = x^5 + 4x^4 - 3x^2 + 1 \) by \( g(x) = x^2 + 2 \) using long division, follow these steps: ### Step 1: Set up the long division Write \( p(x) \) under the long division symbol and \( g(x) \) outside: ``` ______________________ x^2 + 2 | x^5 + 4x^4 + 0x^3 - 3x^2 + 0x + 1 ...
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