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. Here, the expression is \(x^2 + 4x + 6\) and the value given is \(x = -2\).
2. Substitute the value of \(x\) into the expression. Replace every \(x\) in the expression with \(-2\), so the expression becomes \((-2)^2 + 4(-2) + 6\).
3. Evaluate each term separately: calculate \((-2)^2\), then calculate \$4 \times (-2)\(, and keep the constant term \)6$ as is.
4. Add the results of the evaluated terms together: the value from \((-2)^2\), plus the value from \$4(-2)\(, plus \)6$.
5. Combine the sums to find the final value of the expression after substitution.