Precalculus Examples

$f (x) = x^{4} + x^{3} - 11 x^{2} - 5 x + 30$ , $g (x) = 2 x - 2$

Step 1

Replace the function designators with the actual functions in $\frac{f (x)}{g (x)}$ .

$\frac{x^{4} + x^{3} - 11 x^{2} - 5 x + 30}{2 x - 2}$

Step 2

Factor $2$ out of $2 x - 2$ .

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Step 2.1

Factor $2$ out of $2 x$ .

$\frac{x^{4} + x^{3} - 11 x^{2} - 5 x + 30}{2 (x) - 2}$

Step 2.2

Factor $2$ out of $- 2$ .

$\frac{x^{4} + x^{3} - 11 x^{2} - 5 x + 30}{2 (x) + 2 (- 1)}$

Step 2.3

Factor $2$ out of $2 (x) + 2 (- 1)$ .

$\frac{x^{4} + x^{3} - 11 x^{2} - 5 x + 30}{2 (x - 1)}$