When $x^{4}+k x^{2}-5$ is divided by $x^{2}+1$, the remainder is -6 . Find the value of $\mathbf{k}$. a) -2 b) -1 c) 0 d) 1 e) 2

Step 1 ：Use polynomial long division to find the remainder when the given polynomial is divided by \(x^2 + 1\)

Step 2 ：Set the remainder equal to -6 and solve for k

Step 3 ：\(-k - 4 = -6\)

Step 4 ：\(k = 2\)

Step 5 ：\(\boxed{k = 2}\)