Right and Wrong Permutations and Combinations Methods And Pointers That Will Make You Ace These On Your CSET Exam

You need to know permutations and combinations if you are studying for the CSET Math or the CSET Multiple Subjects exam. If you are taking the CSET Multiple Subjects exam, a brief reading over should suffice; however, if you are taking the CSET Math then you need to study this lesson very closely for the […]

Binomial Theorem Part 7

This is part 7 in our series on the binomial theorem for teacher candidates studying for the CSET Math examination.
Now let’s look at expanding two expressions at the same time.
Example:
Expand and simplify (3x + 1)4 + (3x - 1)4
We have a power of 4 so we use the 4th row in Pascal’s Triangle (1, 4, […]

Binomial Theorem Part 6

This is part 6 in our series on the binomial theorem for teacher candidates studying for the CSET Math examination.
There is an easier way to expand an expression: Pascale’s Triangle.
In mathematics, Pascal’s triangle is a geometric arrangement of the binomial coefficients in a triangle. It is named after Blaise Pascal in much of the western […]

Binomial Theorem Part 5

This is part 5 in our series on the binomial theorem for teacher candidates studying for the CSET Math examination.
You may have a problem on the CSET that asks for the first terms of an expansion and then to approximate. It’s really nothing new than what you’ve already learned.
Example:
What are the first four terms in […]

Binomial Theorem Part 4

This is part 4 in our series on the binomial theorem for teacher candidates studying for the CSET Math examination.
Example:
Using the binomial theorem, expand (2x - 3)4

I heard on the radio that Enron, World Com, Global Crossing, Tycho and Arthur Anderson have been selected to receive the “Ignoble Prize” in Economics this year.
The Prize was […]

Binomial Theorem Part 3

This is part 3 in our series on the binomial theorem for teacher candidates studying for the CSET Math examination.
I’m going to use the binomial theorem to expand the problem below in a slightly different way. Math is like website design, there is always more than one way to achieve the desired outcome. The binomial […]

Binomial Theorem Part 2

This is part 2 in our series on the binomial theorem for teacher candidates studying for the CSET Math examination.
Let’s look at another example that has about the same difficulty level as the previous problem.
Example:
Using the binomial theorem, expand (1 + 3x)4

A math student is pestered by a classmate who wants to copy his homework […]

Binomial Theorem Part 1

Teacher candidates studying for the CSET Math exam should know the binomial theorem.
The binomial theorem is used to expand binomials to any given power without direct multiplication.
The binomial theorem states that for all positive integer values of n:

Example:
Using the binomial theorem, expand (x + 2)6
Let a = x, b = 2, and n = 6
Substituting […]

keep looking »

The Buzz