Algebra Examples

$f (x) = x^{3} + x^{2} - 3 x + 9$ for $x = - 4$

Step 1

Replace the variable $x$ with $- 4$ in the expression.

$f (- 4) = {(- 4)}^{3} + {(- 4)}^{2} - 3 \cdot - 4 + 9$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise $- 4$ to the power of $3$ .

$f (- 4) = - 64 + {(- 4)}^{2} - 3 \cdot - 4 + 9$

Step 2.1.2

Raise $- 4$ to the power of $2$ .

$f (- 4) = - 64 + 16 - 3 \cdot - 4 + 9$

Step 2.1.3

Multiply $- 3$ by $- 4$ .

$f (- 4) = - 64 + 16 + 12 + 9$

Step 2.2

Simplify by adding numbers.

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Step 2.2.1

Add $- 64$ and $16$ .

$f (- 4) = - 48 + 12 + 9$

Step 2.2.2

Add $- 48$ and $12$ .

$f (- 4) = - 36 + 9$

Step 2.2.3

Add $- 36$ and $9$ .

$f (- 4) = - 27$

Step 2.3

The final answer is $- 27$ .

$- 27$

Step 3