Find the x and y Intercepts f(x)=(x-8)(x+9)

$f (x) = (x - 8) (x + 9)$

Step 1

Find the x-intercepts.

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

$0 = (x - 8) (x + 9)$

Solve the equation.

Rewrite the equation as $(x - 8) (x + 9) = 0$ .

$(x - 8) (x + 9) = 0$

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

$x - 8 = 0$

$x + 9 = 0$

Set $x - 8$ equal to $0$ and solve for $x$ .

Set $x - 8$ equal to $0$ .

$x - 8 = 0$

Add $8$ to both sides of the equation.

$x = 8$

Set $x + 9$ equal to $0$ and solve for $x$ .

Set $x + 9$ equal to $0$ .

$x + 9 = 0$

Subtract $9$ from both sides of the equation.

$x = - 9$

The final solution is all the values that make $(x - 8) (x + 9) = 0$ true.

$x = 8, - 9$

x-intercept(s) in point form.

x-intercept(s): $(8, 0), (- 9, 0)$

Step 2

Find the y-intercepts.

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

$y = ((0) - 8) ((0) + 9)$

Solve the equation.

Remove parentheses.

$y = (0 - 8) ((0) + 9)$

Remove parentheses.

$y = (0 - 8) (0 + 9)$

Remove parentheses.

$y = ((0) - 8) ((0) + 9)$

Simplify $((0) - 8) ((0) + 9)$ .

Subtract $8$ from $0$ .

$y = - 8 ((0) + 9)$

Add $0$ and $9$ .

$y = - 8 \cdot 9$

Multiply $- 8$ by $9$ .

$y = - 72$

y-intercept(s) in point form.

y-intercept(s): $(0, - 72)$

Step 3

List the intersections.

x-intercept(s): $(8, 0), (- 9, 0)$

y-intercept(s): $(0, - 72)$

Step 4

Find the x and y Intercepts f(x)=(x-8)(x+9)

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