Find the x and y Intercepts y=(x^2)/((x+6)(x-4))

$y = \frac{x^{2}}{(x + 6) (x - 4)}$

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = \frac{x^{2}}{(x + 6) (x - 4)}$

Solve the equation.

Set the numerator equal to zero.

$x^{2} = 0$

Solve the equation for $x$ .

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{0}$

Simplify $\pm \sqrt{0}$ .

Rewrite $0$ as $0^{2}$ .

$x = \pm \sqrt{0^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 0$

Plus or minus $0$ is $0$ .

$x = 0$

x-intercept(s) in point form.

x-intercept(s): $(0, 0)$

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = \frac{{(0)}^{2}}{((0) + 6) ((0) - 4)}$

Solve the equation.

Remove parentheses.

$y = \frac{0^{2}}{((0) + 6) ((0) - 4)}$

Remove parentheses.

$y = \frac{0^{2}}{(0 + 6) ((0) - 4)}$

Remove parentheses.

$y = \frac{0^{2}}{(0 + 6) (0 - 4)}$

Remove parentheses.

$y = \frac{{(0)}^{2}}{((0) + 6) ((0) - 4)}$

Simplify $\frac{{(0)}^{2}}{((0) + 6) ((0) - 4)}$ .

Raising $0$ to any positive power yields $0$ .

$y = \frac{0}{(0 + 6) (0 - 4)}$

Simplify the denominator.

Add $0$ and $6$ .

$y = \frac{0}{6 (0 - 4)}$

Subtract $4$ from $0$ .

$y = \frac{0}{6 \cdot - 4}$

Simplify the expression.

Multiply $6$ by $- 4$ .

$y = \frac{0}{- 24}$

Divide $0$ by $- 24$ .

$y = 0$

y-intercept(s) in point form.

y-intercept(s): $(0, 0)$

List the intersections.

x-intercept(s): $(0, 0)$

y-intercept(s): $(0, 0)$

Find the x and y Intercepts y=(x^2)/((x+6)(x-4))

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