0.6_bzca5e - Section P6 Rational Expressions Rational...

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon
Section P6 Rational Expressions
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Rational Expressions
Background image of page 2
A rational expression is the quotient of two polynomials. The set of real numbers for which an algebraic expression is defined is the domain of the expression. Because division by zero is undefined, we must exclude numbers from a rational expression’s domain that make the denominator zero. See examples below.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Example What numbers must be excluded from the domain? 2 4 5 7 81 x x x - -
Background image of page 4
Simplifying Rational Expressions
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Simplifying Rational Expressions 1. Factor the numerator and the denominator completely. 2. Divide both the numerator and the denominator by any common factors.
Background image of page 6
Example Simplify and indicate what values are excluded from the domain: 2 7 49 x x - -
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Example Simplify and indicate what values are excluded from the domain: 2 2 8 8 1 x x - -
Background image of page 8
Multiplying Rational Expressions
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Multiplying Rational Expressions 1. Factor all numerators and denominators completely. 2. Divide numerators and denominators by common factors.
Background image of page 10
Image of page 11
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 33

0.6_bzca5e - Section P6 Rational Expressions Rational...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online