Dive deep into advanced algebraic concepts in this comprehensive 5-hour course covering Unit 11 of Algebra 2. Master direct and inverse variation, polynomial long division, synthetic division, and key theorems including the Remainder Theorem, Factor Theorem, Conjugate Root Theorem, Descartes' Rule of Signs, and the Rational Root Theorem. Explore the intricacies of proportions, hyperbolas, inverse square law, and techniques for factoring and solving polynomials through a series of detailed lessons. Enhance your problem-solving skills and gain a solid foundation in higher-level algebra topics essential for further mathematical studies.
Overview
Syllabus
01 - Direct Variation and Proportion in Algebra - Part 1 (Constant of Variation & More).
02 - Direct Variation And Proportion, Part 2.
03 - Inverse Variation & Joint Variation - Part 1 (Hyperbolas & Inverse Square Law).
04 - Inverse Variation And Joint Variation, Part 2.
05 - Polynomial Long Division - Part 1 (Division of Polynomials Explained).
06 - Polynomial Long Division, Part 2.
07 - Polynomial Long Division, Part 3.
08 - Learn Synthetic Division of Polynomials - Part 1.
09 - Synthetic Division, Part 2.
10 - The Remainder Theorem of Synthetic Division & Polynomial Long Division - Part 1.
11 - The Remainder Theorem, Part 2.
12 - The Factor Theorem, Part 1 (Factoring Polynomials in Algebra).
13 - The Factor Theorem, Part 2.
14 - The Factor Theorem, Part 3.
15 - The Factor Theorem, Part 4.
16 - Conjugate Root Theorem, Part 1 (Roots of Polynomials, Solving Polynomials & Conjugate Roots).
17 - The Conjugate Root Theorem, Part 2.
18 - Descartes Rule of Signs, Part 1 (Find Roots of Polynomials).
19 - Descartes Rule Of Signs, Part 2.
20 - The Rational Root Theorem, Part 1 (Rational Roots of Polynomials).
21 - The Rational Root Theorem, Part 2.
22 - The Rational Root Theorem, Part 3.
Taught by
mathandscience
