Trigonometry Examples

$\frac{- 10 x^{4} + 12 x^{3} - 28 x^{2} + 7 x + 13}{- 2 x}$

Step 1

Move the negative in front of the fraction.

$- \frac{- 10 x^{4} + 12 x^{3} - 28 x^{2} + 7 x + 13}{2 x}$

Step 2

Factor $- 1$ out of $- 10 x^{4}$ .

$- \frac{- (10 x^{4}) + 12 x^{3} - 28 x^{2} + 7 x + 13}{2 x}$

Step 3

Factor $- 1$ out of $12 x^{3}$ .

$- \frac{- (10 x^{4}) - (- 12 x^{3}) - 28 x^{2} + 7 x + 13}{2 x}$

Step 4

Factor $- 1$ out of $- (10 x^{4}) - (- 12 x^{3})$ .

$- \frac{- (10 x^{4} - 12 x^{3}) - 28 x^{2} + 7 x + 13}{2 x}$

Step 5

Factor $- 1$ out of $- 28 x^{2}$ .

$- \frac{- (10 x^{4} - 12 x^{3}) - (28 x^{2}) + 7 x + 13}{2 x}$

Step 6

Factor $- 1$ out of $- (10 x^{4} - 12 x^{3}) - (28 x^{2})$ .

$- \frac{- (10 x^{4} - 12 x^{3} + 28 x^{2}) + 7 x + 13}{2 x}$

Step 7

Factor $- 1$ out of $7 x$ .

$- \frac{- (10 x^{4} - 12 x^{3} + 28 x^{2}) - (- 7 x) + 13}{2 x}$

Step 8

Factor $- 1$ out of $- (10 x^{4} - 12 x^{3} + 28 x^{2}) - (- 7 x)$ .

$- \frac{- (10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x) + 13}{2 x}$

Step 9

Rewrite $13$ as $- 1 (- 13)$ .

$- \frac{- (10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x) - 1 (- 13)}{2 x}$

Step 10

Factor $- 1$ out of $- (10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x) - 1 (- 13)$ .

$- \frac{- (10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x - 13)}{2 x}$

Step 11

Simplify the expression.

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Step 11.1

Rewrite $- (10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x - 13)$ as $- 1 (10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x - 13)$ .

$- \frac{- 1 (10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x - 13)}{2 x}$

Step 11.2

Move the negative in front of the fraction.

$- - \frac{10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x - 13}{2 x}$

Step 11.3

Multiply $- 1$ by $- 1$ .

$1 \frac{10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x - 13}{2 x}$

Step 11.4

Multiply $\frac{10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x - 13}{2 x}$ by $1$ .

$\frac{10 x^{4} - 12 x^{3} + 28 x^{2} - 7 x - 13}{2 x}$