Algebra Examples

$\frac{k^{14} + 4 k^{7} + 3}{2 k^{11} + 2 k^{4}}$

Step 1

Set the denominator in $\frac{k^{14} + 4 k^{7} + 3}{2 k^{11} + 2 k^{4}}$ equal to $0$ to find where the expression is undefined.

$2 k^{11} + 2 k^{4} = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$k = - 1, 0$

Step 3

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$k = - 1, k = 0$

Step 4