This course teaches how to determine the irrational zeros of a polynomial equation through factoring, long division, and synthetic division. Students will apply the remainder and factor theorem, and learn to write the equation of a polynomial given the zeros. The teaching method includes practical applications and tips in short online math tutorials. The intended audience for this course is pre-calculus students looking to improve their understanding of polynomials and irrational zeros.
Overview
Syllabus
Intro.
Zeros without Factoring.
Linear Factorization.
Irrational Zeros by Factoring.
Understanding Division (a.).
Understanding Division (b.).
Factors vs. Zeros.
Understanding Division (c.) .
Understanding Division (d.).
Understanding Division (e.).
Understanding Division (e.).
Factor Theorem (Intro).
Factor Theorem (Example #1).
Factor Theorem (Example #2).
Remainder Theorem .
Write the Equation.
Made a mistake. The final zeros should be (1+_√3).
In the synthetic division, final answer is x^2 + 5x + 6.
Taught by
Brian McLogan
