We study geometric sequence and geometric series. A geometric sequence is one in which the ratio of every two consecutive terms is the same. Common example like: 1, 2, 4, 8, 16, 32, …

We will finish this chapter next Sunday, which will be the last lesson for this semester.

We start a new chapter today on sequences and series. A sequence is an ordered list of numbers, and a series is the sum of certain number of terms from a sequence.

We talk about arithmetic sequence and arithmetic series today.

We continue with multi-variable polynomial factorization. The specific topic is the Factor Theorem of multivariable polynomial.

We start a new chapter on multi-variable factorization.

Today we study factoring with grouping, and sums and differences of powers.

We study Fieta’s Formulae, which examines the relationships between the roots of a polynomial and its coefficients. We talk about using roots to make equations.

This concludes Chapter 8. Next week we will start a new chapter on factoring multi-variables polynomials.

We start a new chapter, which is also about polynomial roots. But now we move on to study irrational roots and nonreal roots. Important things to know is that irrational roots and nonreal roots come in pairs: if a polynomial with rational coefficients has an irrational root, then is radical conjugate is also a root; if a polynomial with real coefficients has a nonreal root, then its conjugate is also a root of the polynomial.

We wrap up Chapter 7 by studying graphing and Fundamental Theorem of Algebra, as well as talking about algebraic applications of the Fundamental Theorem.

We will start a new chapter next time.

We continue Chapter 7 on polynomial roots. we study rational roots and bounds.

We start a new chapter (Chapter 7) on polynomial roots. We will spend the next several lessons to go over Chapter 7 and 8, both are about polynomial roots, from finding the integer roots, to rational roots, to irrational roots, finally to nonreal roots.

Today we talk about Factor Theorem and finding integer roots.

We start the new chapter (Ch. 6) on Polynomial Division.

We go over polynomial review, talk about long division and start talking about synthetic division, which is a quicker and more compact way of dividing a binomial in the form of x-a.