Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x - 3)?
(0, 6), (0, -6), (6, 0), (-6, 0)

Solution:

A quadratic function is a polynomial function with one or more variables in which the highest power of the variable is two.

Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2.

Given, f(x) = (x + 6)(x - 3)

Now, change the function into an equation,

f(x) = y

y = (x + 6)(x - 3)

When y = 0,

0 = (x + 6)(x - 3)

So we can consider

x + 6 = 0

We can write it as

x = 0 - 6

x = -6

Similarly

x - 3 = 0

We can write it as

x = 0 + 3

x = 3

So, the value of x is 3 and -6.

Therefore, (-6, 0) is the x-intercept.

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

Summary:

The point (-6, 0) is an x-intercept of the quadratic function f(x) = (x + 6)(x - 3).