Graph the function f(x) = x3 – 5x2 + 6x using the graphing calculator. What are the solutions to the related equation? Check all that apply.–3–2–10123
Answer
A
–3
B
–2
C
–1
D
0
E
1
F
2
G
3
Explanation
To find the solutions, set f(x) = 0 and factor: x³ − 5x² + 6x = x(x − 2)(x − 3). The zeros are x = 0, 2, and 3, so the correct choices are 0, 2, and 3.
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