Lesson 610 of 1524
Rational Expressions and Functions
Opposites in a Rational Expression The opposite of a - b is b - a .
Practice this chapterOpposites in a Rational Expression The opposite of a - b is b - a . Multiplication of Rational Expressions If p , q , r , and s are polynomials where q ≠ 0 , s ≠ 0 , then p q · r s = p r q s
rational expression — A rational expression is an expression of the form p q , where p and q are polynomials and q ≠ 0. complex rational expression — A complex rational expression is a rational expression in which the numerator and/or denominator contains a rational expression. rational function — A rational function is a function of the form R ( x ) = p ( x ) q ( x ) where p ( x ) and q ( x ) are polynomial functions and q ( x ) is not zero. similar figures — Two figures are similar if the measures of their corresponding angles are equal and their corresponding sides have the same ratio.
Be able to determine the values for which a rational expression is undefined. Step 1. Set the denominator equal to zero; solve a rational inequality. Step 1. Write the inequality as one quotient on the left and zero on the right.
Worked example
What does “rational expression” mean in Rational Expressions and Functions?
- 1Use the wording this chapter gives for rational expression.
- 2The book says: A rational expression is an expression of the form p q , where p and q are polynomials and q ≠ 0.
- 3Do not use the meaning of complex rational expression. That term means A complex rational expression is a rational expression in which the numerator and/or denominator contains a rational expression.
Result: A rational expression is an expression of the form p q , where p and q are polynomials and q ≠ 0
Why. That is the meaning this chapter gives for rational expression.
Do not swap rational expression and complex rational expression. rational expression means A rational expression is an expression of the form p q , where p and q are polynomials and q ≠ 0. complex rational expression means A complex rational expression is a rational expression in which the numerator and/or denominator contains a rational expression.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.