Problem 50 of 7
Determine graph behavior at each zero for polynomial f(x)=x^3(x-1)^2(x+2).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
cross, touch, or flatten based on multiplicity.
Hidden until you reveal it.
Use multiplicity 1, 2, 3, and higher to decide cross, touch, or flatten.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Read each zero and multiplicity from factored form.
2. Odd multiplicity crosses; even multiplicity touches.
3. Multiplicity greater than 1 creates flatter behavior near the zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying every zero is simply crossed.