Question

Find all x-intercepts of the function.
y = x³ - 9x² + 18x

Answer 1

Explanation:

see plot, intercepts at 0, 3, 6

Answer 2

Explanation:

X-intercepts mean y=0 so we have

y = x³ - 9x² + 18x = 0

Factoring

x³ - 9x² + 18x = 0

x*(x² - 9x +18) = 0

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

So x-intercepts are at x=0, x=3 and x=6