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Theory of Polynomial Functions (I)

Video Summary:

The Intermediate Value Theorem If P(x) defines a polynomial function with only real coefficients, and if, for real numbers a and b, the values P(a) and P(b) are opposite in sign, then there exists at least one real zero between a and b. Division Algorithm for Polynomials Let P(x) and is D(x) be two polynomials, with the degree of D(x) greater than zero and less than the degree of P(x). Then there exist unique polynomials Q(x) and R(x) such that where either R(x) = 0 or the degree of R(x) is less than the degree of D(x).

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