What is the x intercepts of
f(x) = (x +1)squared (x-2) (x-3)
Is it (-1,0), (2,0), (3,0),(-1,0) ?
Or is it only (-1,0), (2,0) and (3,0)
Thank you
3 answers
Only the three. If it just grazes the x axis, that only counts as one intercept.
F(x) = (x+1)^2(x-2)(x-3) = 0.
x-2 = 0. (2, 0).
x-3 = 0. (3, 0).
(x+1)^2 = 0.
Divide both sides by x+1:
x+1 = 0. (-1, 0).
x-2 = 0. (2, 0).
x-3 = 0. (3, 0).
(x+1)^2 = 0.
Divide both sides by x+1:
x+1 = 0. (-1, 0).
Ah, I think you just divided by zero :)