Graph the solution on the number line, quadratic functions.

Question

(x-3)(x-6)/(x+3)

 

Answer 1

Given function (x-3)(x-6)/(x+3)

(x-3)(x-6) = x^2-6x-3x+18

= x^2-9x+18

Now graph the quadratic function x^2-9x+18 and line x+3

Answer 2

Let the function is f (x) = (x - 3)(x - 6)/(x + 3) = 0.

Then, f ( x) = (x - 3)(x - 6) = 0.

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

Apply zero product property.

x - 3 = 0     and      x - 6 = 0

⇒ x = 3      and          x = 6.

The solutions of the quadratic funtion are x = 3 and x = 6.

Graph the solution on the number line :

Note : A dot means that the points (3 and 6) are the solutions of the given function.