1 / 6

Review: Rewriting and Simplifying Fractions

Learn to simplify fractions and rational expressions efficiently, master polynomial division using the area method, rationalize irrational denominators, simplify complex fractions, and manipulate trigonometric identities effectively. Enhance your math skills with step-by-step explanations and practice problems.

dava
Télécharger la présentation

Review: Rewriting and Simplifying Fractions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Review: Rewriting and Simplifying Fractions

  2. Simplifying Rational Expressions Can NOT cancel since everything does not have a common factor and its not in factored form Simplify: Factor Completely CAN cancel since the top and bottom have a common factor This form is more convenient in order to find the domain

  3. Polynomial Division: Area Method Simplify: Quotient x3 3x2 -x -1 Dividend (make sure to include all powers of x) x x4 3x3 -x2 -x The sum of these boxes must be the dividend Divisor - 3 -3x3 -9x2 3x 3 x4 +0x3 –10x2 +2x + 3 Needed Needed Needed Check Needed x3 + 3x2 – x – 1

  4. Rationalizing Irrational and Complex Denominators The denominator of a fraction typically can not contain an imaginary number or any other radical. To rationalize the denominator (rewriting a fraction so the bottom is a rational number) multiply by the conjugate of the denominator. Ex: Rationalize the denominator of each fraction. a. b.

  5. Simplifying Complex Fractions To eliminate the denominators of the embedded fractions, multiply by a common denominator Simplify: It is not simplified since it has embedded fractions No Common Factor. Not everything can be simplified! Check to see if it can be simplified more:

  6. Trigonometric Identities Simplify: Split the fraction Use Trigonometric Identities Write as simple as possible

More Related