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Table of Contents
Chapter 1
The Factor Theorem states that if a function of x is zero when x = 3, then (x - 3) is a factor of the function.
The conjugate roots theorem says that if z is a solution to a quadratic equation, and all the coefficients of the equation are real, then the conjugate of z is the other root for the equation.
If the equation is cubic, two roots can be found this way. The third root should be determined using the quadratic factor. The applet explains this in detail.
The irrational conjugate roots theorem says:
Let p(x) be any polynomial with rational coefficients. If
a + b*sqrt(c) is a root of p(x), where sqrt(c) is irrational and
a and b are rational, then another root is a - b*sqrt(c).
