# Polynomials

1.   The Fundamental Theorem of Algebra (5:33) A discussion on the fundamental theorem of algebra relating the degree of a polynomial and the number of real and non-real roots.
2. Quadratics and the Fundamental Theorem of Algebra (6:34) What does the Fundamental Theorem of Algebra say about the polynomial ?  Find its roots and check its graph.
3.   The number of possible real roots of a polynomial (3:45) How many real roots can a degree-7 polynomial have?
4. Sketching the graph of a polynomial (23:04) Graph by finding the roots of in exact form and its complete factorization.
5. Finding a polynomial f that fits the given data (3:50) has degree , the leading coefficient is , and the roots of are precisely , , .
6. Finding a polynomial f that fits the given data (2:57) has degree , the roots of are precisely , , , and .
7. Finding a polynomial f that fits the given data (4:53) has degree , and the leading coefficient is .  The coefficients of are all real. The polynomial has roots , and .