1 / 10

Simplify Rational Expressions

11.5. Simplify Rational Expressions. Rational Expression: a fraction whose numerators and denominators are polynomials. Examples: 3 , 2x , and 6 . x + 4 x 2 – 9 x 2 + 1.

fawn
Download Presentation

Simplify Rational Expressions

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. 11.5 Simplify Rational Expressions

  2. Rational Expression: a fraction whose numerators and denominators are polynomials. Examples: 3 , 2x , and 6 . x + 4 x2 – 9 x2 + 1

  3. Domain: the set of all real numbers except those for which the denominator is zero. For example: The domain of 3 is x + 4 all real numbers except -4.

  4. Simplify Rational Expression the same way that you reduce a fraction. Divide the numerator and denominator by “x” 25 = Divide the numerator and denominator by “2” 2x + 4 =

  5. Domain:x can be any real number except a number that would make the denominator 0! Find the domain of each expression below.

  6. How do you know when your rational expression is reduced? Reduced Form: when the numerator and denominators have no common factors except for ±1.

  7. The RULE: To simplify fractions, divide out common factors. REMEMBER you can’t cancel out +(adding) and –(subtracting)

  8. For a,b,c any non-zero real numbers, Remember you can only cancel out FACTORS!!!

  9. Simplify the expression. x2 + 4x +4 Factor each polynomial. x2 - 4 (x + 2)(x + 2)(x + 2)(x – 2) What does the numerator and denominator have in common? Factor out (x + 2) The answer is: x + 2 x - 2

  10. Simplify the expression. Factor each polynomial. x2 - 7x + 12x2 +3x - 18 (x - 4)(x – 3)(x + 6)(x - 3) What does the numerator and denominator have in common? Factor out (x – 3) The answer is: x - 4 x + 6

More Related