Question 2 Not yet answered Marked out of 1.00 P Flag question Determine the value of $k$ so that $x+2$ is a factor of $x^{3}+10 x^{2}+23 x+k ?$ Select one: a. $k=14$ b. $k=-14$ c. $k=1$ d. $k=-1$

Step 1 ：Use the factor theorem, which states that if \((x - c)\) is a factor of a polynomial, then the polynomial evaluated at \(x = c\) will be equal to 0. In this case, we have \(x + 2\) as a factor, so we can set \(x = -2\) and evaluate the polynomial.

Step 2 ：\(x = -2\)

Step 3 ：\(k + x^3 + 10x^2 + 23x = k - 8 - 40 - 46 = k - 94\)

Step 4 ：Since \(x + 2\) is a factor, the polynomial evaluated at \(x = -2\) must be equal to 0. So, \(k - 94 = 0\)

Step 5 ：Solve for k: \(k = 94\)

Step 6 ：\(\boxed{k = 94}\)