Ch 3: Cambridge Pre-U Mathematics: Polynomials

About This Chapter

Strengthen your knowledge of polynomials by exploring the short video lessons in this chapter. You can test your comprehension with lesson quizzes as you prepare to take the Cambridge Pre-U Mathematics assessment.

Cambridge Pre-U Mathematics: Polynomials - Chapter Summary

In this chapter, you can review polynomial concepts that enable you to answer related questions on the Cambridge Pre-U Mathematics assessment. Watch the fun videos and increase your ability to:

  • Add, subtract and multiply polynomials
  • Perform operations with polynomials in several variables
  • Divide polynomials with long and synthetic division
  • Define and use remainder theorem and factor theorem
  • Find rational zeros by using synthetic division and the rational zeros
  • Factorize fractions with quadratic denominators

You can review the lessons in any order that suits your studying habits. Watch them on your computer or on the go via your smartphone or tablet. This chapter's flexibility allows you to review polynomials at your own pace.

7 Lessons in Chapter 3: Cambridge Pre-U Mathematics: Polynomials
Test your knowledge with a 30-question chapter practice test
How to Add, Subtract and Multiply Polynomials

1. How to Add, Subtract and Multiply Polynomials

Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!

Operations with Polynomials in Several Variables

2. Operations with Polynomials in Several Variables

In this video lesson, you will learn how to handle and work with polynomials that have more than one variable. This is important because in math you sometimes have to work with several variables at the same time.

How to Divide Polynomials with Long Division

3. How to Divide Polynomials with Long Division

Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!

How to Use Synthetic Division to Divide Polynomials

4. How to Use Synthetic Division to Divide Polynomials

Synthetic division is a 'short-cut' way of dividing a polynomial by a monomial. You still need to know long division, sorry, but this method is way fun when you're dividing by a monomial!

Remainder Theorem & Factor Theorem: Definition & Examples

5. Remainder Theorem & Factor Theorem: Definition & Examples

In this lesson, you will learn about the remainder theorem and the factor theorem. You will also learn how to use these theorems to find remainders and factors of polynomials.

Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

6. Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

After completing this lesson, you will know what the rational zeros theorem says. You will also know how to apply this theorem to find zeros of polynomial functions.

Partial Fractions: How to Factorize Fractions with Quadratic Denominators

7. Partial Fractions: How to Factorize Fractions with Quadratic Denominators

Adding fractions with different denominators is something you probably learned how to do in algebra. In this lesson, learn how to do the opposite: take a complicated fraction and turn it into two simpler ones.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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