Find the x and y Intercepts f(x)=-(x-3)(x+11)

$f (x) = - (x - 3) (x + 11)$

Step 1

Find the x-intercepts.

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

$0 = - (x - 3) (x + 11)$

Solve the equation.

Rewrite the equation as $- (x - 3) (x + 11) = 0$ .

$- (x - 3) (x + 11) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x - 3 = 0$

$x + 11 = 0$

Set $x - 3$ equal to $0$ and solve for $x$ .

Set $x - 3$ equal to $0$ .

$x - 3 = 0$

Add $3$ to both sides of the equation.

$x = 3$

Set $x + 11$ equal to $0$ and solve for $x$ .

Set $x + 11$ equal to $0$ .

$x + 11 = 0$

Subtract $11$ from both sides of the equation.

$x = - 11$

The final solution is all the values that make $- (x - 3) (x + 11) = 0$ true.

$x = 3, - 11$

x-intercept(s) in point form.

x-intercept(s): $(3, 0), (- 11, 0)$

Step 2

Find the y-intercepts.

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

$y = - ((0) - 3) ((0) + 11)$

Solve the equation.

Remove parentheses.

$y = - (0 - 3) ((0) + 11)$

Remove parentheses.

$y = - (0 - 3) (0 + 11)$

Remove parentheses.

$y = - ((0) - 3) ((0) + 11)$

Simplify $- ((0) - 3) ((0) + 11)$ .

Subtract $3$ from $0$ .

$y = - - 3 ((0) + 11)$

Multiply $- 1$ by $- 3$ .

$y = 3 ((0) + 11)$

Add $0$ and $11$ .

$y = 3 \cdot 11$

Multiply $3$ by $11$ .

$y = 33$

y-intercept(s) in point form.

y-intercept(s): $(0, 33)$

Step 3

List the intersections.

x-intercept(s): $(3, 0), (- 11, 0)$

y-intercept(s): $(0, 33)$

Step 4

Find the x and y Intercepts f(x)=-(x-3)(x+11)

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