degree of polynomial x3+x4-x6/x2

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Solution

$Let p (x) = \frac{x^{3} + x^{4} - x^{6}}{x^{2}} = \frac{x^{3}}{x^{2}} + \frac{x^{4}}{x^{2}} - \frac{x^{6}}{x^{2}} = x + x^{2} - x^{4} Degree of p (x) = 4$

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The degree of the polynomial obtained when $8 - 6 x + x^{2} - 7 x^{3} + x^{5}$ is subtracted from $x^{4} - 6 x^{3} + x^{2} - 3 x + 1$ is:

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