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Division of a Polynomial by a Monomial

Solve x2+5x...

Question

Solve $\frac{x^{2} + 5 x + 6}{x + 3}$ .

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Solution

$\frac{x^{2} + 5 x + 6}{x + 3}$

$= \frac{x^{2} + 3 x + 2 x + 6}{x + 3}$

$= \frac{(x + 3) (x + 2)}{x + 3}$

$= x + 2$

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Similar questions

\frac{x^{2} + 5 x + 3}{x + 2} < x

\frac{| x - 3 |}{x^{2} - 5 x + 6} \geq 2

Q. Solve the following inequality:

\frac{| x - 3 |}{x^{2} - 5 x + 6} ⩾ 2

\frac{(5 x - 6 + x^{2})}{(x - 1)}

x :

x^{2} - 5 x + 6 = 0

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