Evaluate the following algebraic expression for the given value of $x$.
$x^2+4x+6;x=-2$

• A. $6$
• B. $2$
• C. $-2$
• D. $12$

Answer: (B)

Verified step by step guidance

1. Identify the given algebraic expression and the value of the variable: the expression is \(x^2 + 4x + 6\) and the value given is \(x = -2\).
2. Substitute the value \(x = -2\) into the expression, replacing every \(x\) with \(-2\): write \((-2)^2 + 4(-2) + 6\).
3. Calculate each term separately: first, compute \((-2)^2\), then calculate \$4 \times (-2)\(, and keep the constant term \)6$ as is.
4. Add the results of the three terms together: sum the value of \((-2)^2\), the product \$4(-2)\(, and \)6$.
5. The final sum you get after adding these values is the value of the expression when \(x = -2\).