Evaluate - 6x2-x-23x-2

6x^2 x 23x 2=6x^2+3x 4x 23x 2 =(2x+1)(3x 2)3x 2 =(2x+1) Therefore, 6x^2 x 23x 2=2x+1 ...

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Division of a Polynomial by a Polynomial

Evaluate : 6...

Question

Evaluate :
$\frac{6 x^{2} - x - 2}{3 x - 2}$

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Solution

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\begin{matrix} {lim}_{x \to 1} \frac{x^{2} - 3 x + 2}{x^{2} - 4 x + 3} {lim}_{x \to 2} \frac{x^{3} + x^{2} - 12}{x^{3} - x^{2} - x - 2} {lim}_{x \to \sqrt{2}} \frac{x^{2} + x \sqrt{2} - 4}{x^{2} - 3 x \sqrt{2} + 4} {lim}_{x \to 3} \frac{x^{3} - 3 x^{2} - x + 3}{x^{3} - 6 x^{2} + 9 x} \end{matrix}

\frac{6 x^{2} - x - 2}{8 x^{2} + 6 x + 1} \times \frac{12 x^{2} - 13 x - 4}{12 x^{2} - 25 x + 12}

f (x) = {\begin{matrix} x^{3} - 3 x + 2, & x < 2 x^{3} - 6 x^{2} + 9 x + 2, & x \geq 2 \end{matrix}

\frac{x + 2}{(x + 1) (2 x + 3)} - \frac{2 x + 3}{(x + 1) (x + 2)} + \frac{3 x + 5}{(2 x + 3) (x + 2)}

\int \frac{3 x + 1}{(x - 2)^{2} (x + 2)} d x

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