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Factorisation of Quadratic Polynomials- Middle Term Splitting

Find the quot...

Question

Find the quotient when $p (x) = 3 x^{4} + 5 x^{3} - 7 x^{2} + 2 x + 2$ is divided by $(x^{2} + 3 x + 1)$ .

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Solution

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$∴$ Quotient $= 3 x^{2} - 4 x + 2$

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