find the x-intercepts of
y=3x^2-6x by factoring
y = 3x^2 - 6x
Factor out 3x:
y = 3x(x - 2)
Set each factor equal to 0:
3x = 0; x = 0
x - 2 = 0; x = 2
Those are your x-intercepts.
I hope this will help.
To find the x-intercepts of the equation y = 3x^2 - 6x by factoring, follow these steps:
1. Write the equation in the form y = 0:
3x^2 - 6x = 0
2. Factor out the greatest common factor, which in this case is 3x:
3x(x - 2) = 0
3. Now, set each factor equal to 0 and solve for x:
3x = 0 --> x = 0
x - 2 = 0 --> x = 2
4. The solutions for x are the x-intercepts:
x = 0 and x = 2
Therefore, the x-intercepts of the equation y = 3x^2 - 6x are 0 and 2.