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Lesson 610 of 1524

Rational Expressions and Functions

Opposites in a Rational Expression The opposite of a - b is b - a .

Practice this chapter

Opposites 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?

  1. 1Use the wording this chapter gives for rational expression.
  2. 2The book says: A rational expression is an expression of the form p q , where p and q are polynomials and q ≠ 0.
  3. 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.