Trigonometry Examples

$f (2) = x^{2} + 4 x - 5$

Step 1

Divide each term in $f (2) = x^{2} + 4 x - 5$ by $2$ .

$\frac{f \cdot 2}{2} = \frac{x^{2}}{2} + \frac{4 x}{2} + \frac{- 5}{2}$

Step 2

Simplify the left side.

Tap for more steps...

Step 2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1.1

Cancel the common factor.

$\frac{f \cdot 2}{2} = \frac{x^{2}}{2} + \frac{4 x}{2} + \frac{- 5}{2}$

Step 2.1.2

Divide $f$ by $1$ .

$f = \frac{x^{2}}{2} + \frac{4 x}{2} + \frac{- 5}{2}$

Step 3

Simplify the right side.

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

Cancel the common factor of $4$ and $2$ .

Tap for more steps...

Step 3.1.1.1

Factor $2$ out of $4 x$ .

$f = \frac{x^{2}}{2} + \frac{2 (2 x)}{2} + \frac{- 5}{2}$

Step 3.1.1.2

Cancel the common factors.

Tap for more steps...

Step 3.1.1.2.1

Factor $2$ out of $2$ .

$f = \frac{x^{2}}{2} + \frac{2 (2 x)}{2 (1)} + \frac{- 5}{2}$

Step 3.1.1.2.2

Cancel the common factor.

$f = \frac{x^{2}}{2} + \frac{2 (2 x)}{2 \cdot 1} + \frac{- 5}{2}$

Step 3.1.1.2.3

Rewrite the expression.

$f = \frac{x^{2}}{2} + \frac{2 x}{1} + \frac{- 5}{2}$

Step 3.1.1.2.4

Divide $2 x$ by $1$ .

$f = \frac{x^{2}}{2} + 2 x + \frac{- 5}{2}$

Step 3.1.2

Move the negative in front of the fraction.

$f = \frac{x^{2}}{2} + 2 x - \frac{5}{2}$