Evaluate the Function f(x)=3x^2+2x+1 at x=-2

$f (x) = 3 x^{2} + 2 x + 1$ at $x = - 2$

Step 1

Replace the variable $x$ with $- 2$ in the expression.

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

Step 2

Simplify the result.

Simplify each term.

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

$f (- 2) = 3 \cdot 4 + 2 (- 2) + 1$

Multiply $3$ by $4$ .

$f (- 2) = 12 + 2 (- 2) + 1$

Multiply $2$ by $- 2$ .

$f (- 2) = 12 - 4 + 1$

Simplify by adding and subtracting.

Subtract $4$ from $12$ .

$f (- 2) = 8 + 1$

Add $8$ and $1$ .

$f (- 2) = 9$

The final answer is $9$ .

$9$

Step 3