Finite Math Examples

$f (- 1) = 10 x^{4} + 20 x^{3} - 30 x^{2}$

Step 1

Replace the variable $x$ with $- 1$ in the expression.

$f (- 1) = 10 {(- 1)}^{4} + 20 {(- 1)}^{3} - 30 {(- 1)}^{2}$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $- 1$ to the power of $4$ .

$f (- 1) = 10 \cdot 1 + 20 {(- 1)}^{3} - 30 {(- 1)}^{2}$

Step 2.1.2

Multiply $10$ by $1$ .

$f (- 1) = 10 + 20 {(- 1)}^{3} - 30 {(- 1)}^{2}$

Step 2.1.3

Raise $- 1$ to the power of $3$ .

$f (- 1) = 10 + 20 \cdot - 1 - 30 {(- 1)}^{2}$

Step 2.1.4

Multiply $20$ by $- 1$ .

$f (- 1) = 10 - 20 - 30 {(- 1)}^{2}$

Step 2.1.5

Raise $- 1$ to the power of $2$ .

$f (- 1) = 10 - 20 - 30 \cdot 1$

Step 2.1.6

Multiply $- 30$ by $1$ .

$f (- 1) = 10 - 20 - 30$

Step 2.2

Simplify by subtracting numbers.

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Step 2.2.1

Subtract $20$ from $10$ .

$f (- 1) = - 10 - 30$

Step 2.2.2

Subtract $30$ from $- 10$ .

$f (- 1) = - 40$

Step 2.3

The final answer is $- 40$ .

$- 40$

Step 3