Evaluate the Function f(-5)=x^3+4x^2-8x-10

$f (- 5) = x^{3} + 4 x^{2} - 8 x - 10$

Step 1

Replace the variable $x$ with $- 5$ in the expression.

$f (- 5) = {(- 5)}^{3} + 4 {(- 5)}^{2} - 8 \cdot - 5 - 10$

Step 2

Simplify the result.

Simplify each term.

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

$f (- 5) = - 125 + 4 {(- 5)}^{2} - 8 \cdot - 5 - 10$

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

$f (- 5) = - 125 + 4 \cdot 25 - 8 \cdot - 5 - 10$

Multiply $4$ by $25$ .

$f (- 5) = - 125 + 100 - 8 \cdot - 5 - 10$

Multiply $- 8$ by $- 5$ .

$f (- 5) = - 125 + 100 + 40 - 10$

Simplify by adding and subtracting.

Add $- 125$ and $100$ .

$f (- 5) = - 25 + 40 - 10$

Add $- 25$ and $40$ .

$f (- 5) = 15 - 10$

Subtract $10$ from $15$ .

$f (- 5) = 5$

The final answer is $5$ .

$5$

Step 3