Adding, Subtracting, and Multiplying Polynomials - Including Pascal's Triangle and Binomial Expansion

Overview

Learn polynomial operations and advanced binomial expansion techniques in this comprehensive mathematics lecture and problem-solving session. Master fundamental concepts like combining like terms, using the distributive property, and writing terms in standard form before progressing to special binomial cases including difference of squares and perfect square trinomials. Explore the expansion of binomials to higher powers, including cubic expressions, and discover the powerful tool of Pascal's Triangle for generating coefficients in binomial expansions. Work through 95 detailed practice problems with step-by-step solutions, ranging from basic polynomial operations to complex expansions. Access downloadable textbook materials and navigate easily through different sections using detailed timestamps. A minor correction note is included for Problem #16 regarding a sign error in the copied expression.

Syllabus

Introduction
Lecture overview
Problem #1-2
Problem #3-8
Problem #9-14
Problem #15-16*
Problem #17-24
Problem #25-26
Problem #27-32
Problem #33
Problem #34
Problem #35-42
Problem #43-48
Problem #49-52
Problem #53-54
Problem #55-62
Problem #63-70
Problem #71
Problem #72
Problem #73-76
Problem #77
Problem #78
Problem #79-80
Problem #81
Problem #82
Problem #83
Problem #84
Problem #85
Problem #86
Problem #87-90
Problem #91
Problem #92
Problem #93
Problem #94
Problem #95