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

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the quadratic function:

f(x) = (x + 6)(x – 3)

Determine the x-intercept.

Solution:

In order to determine the x-intercept we simply equate each factor to 0, the solve for x.

x + 6 = 0
Transpose 6 on the other side of the equation, hence it must be taken to note that in transposing a number the sign changes.
x = -6

x - 3 = 0

x = 3

Final answer:

x = -6 and 3