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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 .