Which point is an x-intercept of the quadratic function f(x) = (x – 8)(x + 9)? (0,8) (0,–8) (9,0) (–9,0)

(–9,0)

Step-by-step explanation:

f(x) = (x – 8)(x + 9)

     = x² + 9x -8x - 72

     = x² + x - 72

x-intercept is a coordinate of x axis where a function cuts the x-axis. They are points where y=0 or f(x) = 0.

x² + x - 72 =  (x – 8)(x + 9) = 0

∴  x – 8 = 0

    x = 8

    x + 9 = 0

     x = -9

The required points are (8, 0) and (-9, 0).

From the choices given there is only one correct answer. (–9,0)

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

we need the options

step-by-step explanation: