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多项式（续）
从多项式函数的代数结构出发，我们能推断出它的哪些性质？
1. Multiplicity of polynomial zeros
Multiplicity of polynomial zeros
2. Summary
Summary
3. Building a polynomial from a double root
A polynomial has zeros at x = -9 with multiplicity 2 and total degree 10. What is the minimum number of remaining linear factors beyond the squared one?
4. Possible versus impossible degree requests
A degree-9 polynomial is requested with end behavior matching at both infinities. What is the verdict?
5. Quadratic from zeros and vertex value
A quadratic has zeros at x = -7 and x = 11 and its vertex value is 42. Which formula fits?
6. How parameters shift a cubic family
For p(x) = x(x^2 - a^2) with a > 0, what are its zeros and end behavior?
7. An even multiplicity zero makes the graph bounce
A zero of even multiplicity is a point where the graph touches the x-axis without crossing it.