Question

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

Answer 1

X+6=0; x-3=0
X = -6. X=3
Therefore x= 3 is x-intercept

Answer 2

Given :  f(x) = (x + 6)(x – 3)

To Find :   x-intercept of the quadratic function f(x) = (x + 6)(x – 3)

Solution:

f(x) = (x + 6)(x – 3)

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

=> y = f(x) = 0

=> (x + 6)(x – 3) = 0

=> x + 6 =  0 or  x - 3 = 0

=> x = -6 or x = 3

Hence 3 & - 6 are x-intercept of the quadratic function f(x) = (x + 6)(x – 3)

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