Question

What are the x Intercepts for the function? � ( � ) = ( � − 4 ) ( � + 6 ) f(x)=(x−4)(x+6)

Answer 1

The x-intercepts are
`x=-6` and
`x=4`

In terms of coordinates, the x-intercepts are (-6,0) and (4,0)

Explanation:

The given quadratic function is:

`f(x)=(x-4)(x+6)---(1)`

To find its x-intercepts, substitute
`f(x)=0` into (1) as follows:

`0=(x-4)(x+6)`

Then, by the zero-product property, it follows:

`x-4=0= > x=4`

`x+6=0= > x=-6`

So, the x-intercepts are
`x=-6` and
`x=4`.

In terms of coordinates, the x-intercepts are
`(-6,0)` and
`(4,0)`