Question

Where does g(x) = x^2 – 10x + 24 touch the x-axis

Answer 1

It touches at (6, 0) and (4, 0)

Explanation:

Step 1: Factor out the expression

`g(x) = x^2-10x+24`

`g(x) = x^2 - 6x - 4x + 24`

`g(x) = (x - 6)(x - 4)`

Step 2: Solve for x

`x - 6 + 6 = 0 + 6`

`x = 6`

`x - 4 + 4 = 0 + 4`

`x = 4`

Answer: It touches at (6, 0) and (4, 0)