Evaluate Using the Given Value x^2+4x+1 when x=-3

$x^{2} + 4 x + 1$ when $x = - 3$

Step 1

Replace the variable $x$ with $- 3$ in the expression.

${(- 3)}^{2} + 4 (- 3) + 1$

Step 2

Simplify each term.

Raise $- 3$ to the power of $2$ .

$9 + 4 (- 3) + 1$

Multiply $4$ by $- 3$ .

$9 - 12 + 1$

Step 3

Simplify by adding and subtracting.

Subtract $12$ from $9$ .

$- 3 + 1$

Add $- 3$ and $1$ .

$- 2$