Finding Imaginary Solutions

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This informational material will explain how to find all zeroes of a polynomial equation, including complex solutions. It will also introduce the concept of imaginary solutions. There is a corresponding video available. Practice questions with a PDF answer key are provided.  

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.6

Analyze possible zeros for a polynomial function over the complex numbers by applying the Fundamental Theorem of Algebra, using a graph of the function, or factoring with algebraic identities.

UP:MA19.PRE.6

Vocabulary

  • Zeros
  • Fundamental Theorem of Algebra
  • Quadratic Polynomial

Knowledge

Students know:
  • The definition of the degree of a polynomial.
  • The difference between real and complex roots.

Skills

Students are able to:
  • Find roots of a polynomial algebraically and/or graphically.
  • Rewrite an imaginary number as a complex number.

Understanding

Students understand that:
  • The degree of a polynomial determines the number of roots, some which may be real, complex, or used more than once.
  • Only real roots will be x-intercepts on a graph.

CR Resource Type

Informational Material

Resource Provider

CK-12

License Type

Custom

Accessibility

Text Resources: Content is organized under headings and subheadings
Video resources: includes closed captioning or subtitles
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