In these worksheets, students will learn to recognize what a parabola will look like on a graph when given its equation.

#### The Binomial Theorem (also called the Binomial Expansion Theorem) is a formula for finding any power of a binomial without having to do extensive multiplication operations. If you look at the word, it has "nomial" in it, which means that polynomial is involved one way or another. Yes, that is the case, a binomial is polynomial with two terms in it. For example, c2+b2. Now, what happens when we multiply two binomials many times? The calculation becomes more complex with no vision of ending. In such circumstances, the concept of binomial theorem help. Let us explain in the form of an example. If we multiply, (a+b)(a+b) then we get an answer of a2 + 2ab + b2. You can see here that the first variable's exponent starts with the largest power. The power reduces 1 by 1. On the other hand, the variable starts at 0 and it goes to the highest. In general, if we consider the number of terms as 'n' and exponents as 'k,' we can decide on a formula of a(n-k) bk.

These worksheets introduce a new notation for writing a combination, but overall the syntax used in these worksheets should look familiar to students who have a background in algebra. There are 6 worksheets in this set. Students will use the binomial theorem to expand mathematical expressions. This set of worksheets contains lessons, step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. It also includes ample worksheets for students to practice independently. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to use the Binomial Theorem. These worksheets explain how to use the Binomial Theorem to expand mathematical expressions. Sample problems are solved and practice problems are provided.

# The Binomial Theorem Worksheets

## Lesson

This worksheet explains how to use the Binomial Theorem. Most of the syntax used in this theorem should look familiar. A sample problem is solved, and two practice problems are provided.

## Binomial Theorem Worksheet

Students will use the Binomial Theorem to expand mathematical expressions. Ten problems are provided.

## Practice

Students will practice expanding various math statements and expressions. Ten problems are provided.

## Review and Practice

We will review how to use this skill and apply it directly to specific problems. A sample problem is solved. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency in using the Binomial Theorem. Ten problems are provided.

## Skill Check

You can get around a lot of different ways using this theory and applying to applicable problems.