Algebra Examples

$f (x) = x^{3} + 9 x^{2} + x + 4$ at $x = 0$

Step 1

Replace the variable $x$ with $0$ in the expression.

$f (0) = {(0)}^{3} + 9 {(0)}^{2} + 0 + 4$

Step 2

Simplify the result.

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Step 2.1

Remove parentheses.

$f (0) = {(0)}^{3} + 9 {(0)}^{2} + 0 + 4$

Step 2.2

Simplify each term.

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Step 2.2.1

Raising $0$ to any positive power yields $0$ .

$f (0) = 0 + 9 {(0)}^{2} + 0 + 4$

Step 2.2.2

Raising $0$ to any positive power yields $0$ .

$f (0) = 0 + 9 \cdot 0 + 0 + 4$

Step 2.2.3

Multiply $9$ by $0$ .

$f (0) = 0 + 0 + 0 + 4$

$f (0) = 0 + 0 + 0 + 4$

Step 2.3

Simplify by adding numbers.

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Step 2.3.1

Add $0$ and $0$ .

$f (0) = 0 + 0 + 4$

Step 2.3.2

Add $0$ and $0$ .

$f (0) = 0 + 4$

Step 2.3.3

Add $0$ and $4$ .

$f (0) = 4$

$f (0) = 4$

Step 2.4

The final answer is $4$ .

$4$

$4$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$