# 13 Pre-Calculus Tutorials

These Pre-Calculus tutorials are written by experienced educators, all of whom also offer private tutoring lessons. Get the Pre-Calculus help you need, whether through these tutorials or through private tutoring lessons.

## Synthetic Division to Divide Polynomials Posted by: Tomer P on Feb 25, 2018

This tutorial will teach you how to use synthetic division – an extremely useful tool when dealing with polynomials. It is a simplified version of long division that allows you to divide polynomials with ease.

## Graphing on a Graphing Calculator Posted by: Jeffrey P on Feb 15, 2018

Once students begin to take classes on pre-calculus or beyond, instructors begin requiring them to draw and solve for the graphs of an equation (or even multiple equations!) This task can be daunting, but a graphing calculator can save the day! These handy devices draw, trace, and even solve for aspects of a graph. In…

## Factoring Posted by: Amalia R on Jan 25, 2018

Factoring is used in many areas of math, specifically pre-calculus. It’s used almost throughout the entire course. Many students have issues with factoring correctly which is why I’m going to show a sample problem solving a quadratic equation with factoring.

## Introduction to imaginary numbers Posted by: Conor B on Jul 09, 2017

-Imaginary numbers are represented as i -You will see an imaginary number when there is a negative number within a square root. Imaginary numbers are typically accompanied by an exponent. It is important to understand the rules of exponents before continuing. Before diving into the sample problem, it is important to understand the structure of…

## expanding logarithms using the property rules Posted by: Conor B on Jul 06, 2017

Before attacking this problem, you should be familiar with these three rules: “b” represents the base 1: Product Rule: -log b (XY) = log b X + log b Y 2: Quotient Rule: -log b (x/y) = log b X – log b Y 3: Power Rule: -log b M^p = p log b M

## Finding the Domain of Functions Posted by: Darryl K on Jul 06, 2017

In this tutorial I will demonstrate the process of finding the domain of a function. The domain of a function is all the allowable values of real numbers that the independent variable (usually x) can be. The restrictions (what we cannot do with real numbers) are 1) Can’t divide by zero. 2) Can’have a negative…

## Union & Intersection Posted by: Jeffrey N on Jul 01, 2017

Union, denoted by ∪, means the inclusion of ALL elements in a set. Interxection, denoted by ∩, is the inclusion of elements that are the SAME. Easy way to Remember: Union is ALL Elements, pretty easy ? Intersections is finding the same ones. Let’s try an example!

## Union & Intersection Posted by: Jeffrey N on Jun 30, 2017

Union, denoted by “U”, means the inclusion of ALL elements in a set. Interxection, denoted by “n”, is the inclusion of elements that are the SAME. Easy way to Remember: Union is ALL Elments, pretty easy ? Intersections is finding the same ones. Let’s try an example!

## Partial Fraction Decomposition w/ Substitute Numerators Posted by: Michael C on Jun 12, 2017

Partial Fraction Decomposition: the process of starting with the simplified answer and taking it back apart, or “decomposing” the final expression into its initial polynomial fractions. With this tutorial, you’ll learn how to set up an equation that will help you to solve problems like these.

## 5.1 Trig Identities – Reciprocal and Quotient Identities Posted by: Kristen M on Mar 12, 2017

These identities deal with the reciprocal(s) of the problem given.

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