Sal solves the following challenge: Given the positive integers a, b, and c, where a is a multiple of c and (a+b)/c is an integer. Is b necessarily a multiple of c? [3:38]

Analyzing an elaborate rational expression to determine what's bigger: the value of that expression at some unknown c, or the number of times the expression is equal to 0? This is algebraic reasoning at its best! [4:41]

This video discusses types of polynomials, like terms, leading coefficients, degree of polynomial, and combining like terms. A variety of polynomials are analyzed to see what their different characteristics are. [5:47]