Evaluate the Function f(x)=x^3+9x^2+x+4 at x=0

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

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

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

Simplify the result.

Remove parentheses.

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

Simplify each term.

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

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

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

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

Multiply $9$ by $0$ .

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

Simplify by adding numbers.

Add $0$ and $0$ .

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

Add $0$ and $0$ .

$f (0) = 0 + 4$

Add $0$ and $4$ .

$f (0) = 4$

The final answer is $4$ .

$4$