Evaluate Using the Given Value f(-5)=3(-5)^3+11(-5)^2-14*-5+30

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

Step 1

Simplify each term.

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

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

Multiply $3$ by $- 125$ .

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

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

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

Multiply $11$ by $25$ .

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

Multiply $- 14$ by $- 5$ .

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

Step 2

Simplify by adding numbers.

Add $- 375$ and $275$ .

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

Add $- 100$ and $70$ .

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

Add $- 30$ and $30$ .

$f (- 5) = 0$