Algebra Examples

$f (- 5) = 3 {(- 5)}^{3} + 11 {(- 5)}^{2} - 14 \cdot - 5 + 30$

Step 1

Simplify each term.

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Step 1.1

Raise $- 5$ to the power of $3$ .

$f (- 5) = 3 \cdot - 125 + 11 {(- 5)}^{2} - 14 \cdot - 5 + 30$

Step 1.2

Multiply $3$ by $- 125$ .

$f (- 5) = - 375 + 11 {(- 5)}^{2} - 14 \cdot - 5 + 30$

Step 1.3

Raise $- 5$ to the power of $2$ .

$f (- 5) = - 375 + 11 \cdot 25 - 14 \cdot - 5 + 30$

Step 1.4

Multiply $11$ by $25$ .

$f (- 5) = - 375 + 275 - 14 \cdot - 5 + 30$

Step 1.5

Multiply $- 14$ by $- 5$ .

$f (- 5) = - 375 + 275 + 70 + 30$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $- 375$ and $275$ .

$f (- 5) = - 100 + 70 + 30$

Step 2.2

Add $- 100$ and $70$ .

$f (- 5) = - 30 + 30$

Step 2.3

Add $- 30$ and $30$ .

$f (- 5) = 0$