Linear Algebra Examples

$\frac{105 x^{4} \cdot (2 x^{3}) - 4 x^{2} - 2 x + 4}{x + 2}$

Step 1

Set the denominator in $\frac{105 x^{4} \cdot (2 x^{3}) - 4 x^{2} - 2 x + 4}{x + 2}$ equal to $0$ to find where the expression is undefined.

$x + 2 = 0$

Step 2

Subtract $2$ from both sides of the equation.

$x = - 2$

Step 3

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$(- \infty, - 2) \cup (- 2, \infty)$

Set-Builder Notation:

${x | x \neq - 2}$

Step 4