You multiply complex numbers a + bi and c + di as you would multiply binomials. For imaginary parts bi and di,
Problem 4 Multiplying Complex Numbers
What is each product?
Think
How do you multiply two binomials?
Multiply each term of one binomial by each term of the other binomial.
✓ Got It?
- What is each product?
- (7 i)(3 i)
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In Problem 4(c), the product is a real number. Number pairs of the form a + bi and
You can use complex conjugates to simplify quotients of complex numbers.
Problem 5 Dividing Complex Numbers
What is each quotient?
Plan
What is the goal?
Write the quotient in the form a + bi.
✓ Got It?
- What is each quotient?
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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