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.- 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. - The number of possible real roots of a polynomial (3:45) How many real roots can a degree-7 polynomial have?
- Sketching the graph of a polynomial (23:04) Graph
by finding the roots of 
in exact form and its complete factorization. - Finding a polynomial f that fits the given data (3:50) has degree
, the leading coefficient is 
, and the roots of are precisely 
, 
, . - Finding a polynomial f that fits the given data (2:57) has degree , the roots of are precisely
, 
, , and 
. - 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 
.
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