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Dividing a Polynomial by a Monomial

Divide the gi...

Question

Divide the given polynomial by the given Monomial : $(5 x^{2} - 6 x) \div 3 x$ .

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Solution

Here,
Let, us divide the given polynomial by a monomial,
$= \frac{(5 x^{2} - 6 x)}{3 x} = \frac{5 x^{2}}{3 x} - \frac{6 x}{3 x} = \frac{5 x}{3} - 2 = \frac{5 x - 6}{3}$
Thus, $(5 x 2 - 6 x) \div 3 x$ is $\frac{5 x - 6}{3}$ .

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