Login

Using Rational & Complex Zeros to Write Polynomial Equations

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

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.

Start Your Free Trial To Take This Quiz

As a member, you'll also get unlimited access to over 70,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
It only takes a few minutes to set up and you can cancel at any time.
Already registered? Login here for access

1. A polynomial function has real coefficients, a leading coefficient of 1, and the zeros -4i and 4i. Write a polynomial function of least degree in standard form.

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

Start your free trial to access this entire worksheet
A premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

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

Additional Learning

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
Support