# Using Rational & Complex Zeros to Write Polynomial Equations

Instructions:

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question 1 of 3

### A polynomial function has real coefficients, a leading coefficient of 1, and the zeros -6, 1, and 1. Write a polynomial function of least degree in standard form.

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### 2. A polynomial function of degree 4 has the following zeros: 2, 3 and 2 - 2i. What is the fourth zero?

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These materials will help you practice how to write out polynomial functions when given a set of numbers. The quiz will ask you to write out equations in standard and factored form.

## Quiz & Worksheet Goals

When you take the quiz, you'll be testing yourself on:

• How well you can convert zeros into factors
• Your ability to combine factors to reflect the least degree
• Whether you can take zeros and convert them into polynomial equations in standard form
• Your understanding of imaginary numbers and conjugate pairs

## Skills Practiced

Use this quiz and worksheet to hone the following skills:

• Making connections - use your understanding of the concept of complex zeros
• Interpreting information - verify that you can read information regarding standard polynomial form and interpret it correctly
• Problem solving - use acquired knowledge to solve polynomial equations practice problems

If you want to learn more about converting a set of numbers into a polynomial equation, watch the accompanying video lesson titled Using Rational & Complex Zeros to Write Polynomial Equations: Lesson and Quiz. This lesson will help you:

• Study the definition of a polynomial equation
• Learn the difference between rational and complex zeros
• Explore the process used to convert a series of zeros into a polynomial function
• Review several practice problems that go over the process of creating a polynomial equation step-by-step
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