Question

Graph the function f(x) = x3 – 5x2 + 6x using the graphing calculator. What are the solutions to the related equation? Check all that apply.

–3
–2
–1
0
1
2
3

Answer 1

Solve f(x) = 0.

f(x) = x^3 − 5x^2 + 6x = x(x^2 − 5x + 6) = x(x−2)(x−3).

So the zeros are x = 0, 2, 3.

From the list, the solutions that apply are: 0, 2, 3.