integration

[teal bramble]

Can someone explain this factorising thimg
I dont get how x^2(3-x) means tbag the it cuts at (3,0)

Like from factorising doesn't that mean
The 2 x values is 0 and 3?

[errant girder]

The 2 x values are 0 and 3, and both the y values are 0, so the coordinates at which it cuts the x axis are (0,0) and (3,0)

[simple sparrow]

We set y = 0,

Then x^2(3-x) = 0

For this to be true we have either

x^2 = 0

Or

3 - x = 0

x^2 = 0 => x = 0

3 - x = 0 => x = 3