Problem 10 of 7
Create and solve a polynomial equation from context: A company's profit P (in thousands of dollars) from selling x thousand items is given by P = -x^3 + 12x^2 - 20x. Find the number of items sold to achieve a profit of 64 thousand dollars.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
model with higher-degree polynomial and find valid roots.
Hidden until you reveal it.
Translate context to a polynomial equation and keep valid roots only.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Define the variable and polynomial relationship.
2. Set the polynomial equation equal to the target value.
3. Solve and check roots against context constraints.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Roots that violate physical or contextual domain.