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多项式
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. Introduction
Introduction
2. Key results about polynomial functions
Key results about polynomial functions
3. Using zeros and signs to understand polynomial behavior
Using zeros and signs to understand polynomial behavior
4. Reading a polynomial's structure
For P(x) = 3 - 7x + 4x^2 - 2x^3 + 9x^5, what are the degree, constant term and leading coefficient?
5. Zeros and turning points of a polynomial
A degree-4 polynomial is required to have limits +infinity at -infinity and -infinity at +infinity. Possible?
6. End behavior from leading term and degree
A degree-5 polynomial with a positive leading coefficient has which end behavior?
7. Degree from a factored form
For p(x) = k(x-1)(x-a)(x-b) with k nonzero, what is the degree?
8. Sign chart with an even-multiplicity zero
A polynomial has factors (x+1520), (x-3471)^2, (x-9738) and (x^2+10000), all times a positive constant. What happens at x = 3471?
9. A quintic can have five real zeros
A degree-5 polynomial can have at most five real zeros.