Conjugates are expressions, like
Problem 5 Multiplying Conjugates
What is the product
Think
Where have you seen conjugates before?
The complex number a + bi has a conjugate,
✓ Got It?
- What is each product?
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Sometimes a denominator is a sum or difference involving radicals. If the radical expressions are square roots, you can rationalize the denominator by multiplying the numerator and the denominator by the conjugate of the denominator.
Problem 6 Rationalizing the Denominator
How can you write the expression with a rationalized denominator?
Think
What is a rationalized denominator?
A rationalized denominator contains no radicals.
✓ Got It?
- How can you write the expression with a rationalized denominator?
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Reasoning Suppose you were going to rationalize the denominator of
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Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions