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### How to Use the Roots of a Polynomial to Find Its Factors

The *factor theorem* states that you can go back and forth between the roots of a polynomial and the factors of a polynomial. In other words, if you know one, you know the other. At times, your teacher or [more…]

### How to Graph Polynomials When the Roots Are Imaginary Numbers — An Overview

In pre-calculus and in calculus, certain polynomial functions have non-real roots in addition to real roots (and some of the more complicated functions have [more…]

### Understanding the Binomial Theorem

A *binomial* is a polynomial with exactly two terms. Multiplying out a binomial raised to a power is called *binomial expansion*. Your pre-calculus teacher may ask you to use the binomial theorem to find the [more…]

### Frequently Used Pre-Calculus Formulas

*Mathematical formulas* are equations that are always true. You can use them in algebra, geometry, trigonometry, and many other mathematical applications, including pre-calculus. Refer to these formulas [more…]

### Counting Techniques for Pre-Calculus

Counting the number of ways to perform a task is fairly simple — until the number of choices gets too large. Here are three counting techniques used in pre-calculus: [more…]

### Completing the Square for Pre-Calculus

Quadratic equations are written in many different formats, depending on what the current application is. Completing the square is helpful when you’re writing conics in their standard form, and you can [more…]

### 1,001 Pre-Calculus Practice Problems For Dummies Cheat Sheet

Pre-calculus draws from algebra, geometry, and trigonometry and combines these topics to prepare you for the techniques you need to succeed in calculus. This cheat sheet provides the most frequently used [more…]