math.wiki
Worksheets › Algebra 2 › Chapter 3
Sign in
Algebra 2 · Chapter 3 · Lesson 3.10 · Printable PDF

The Fundamental Theorem of Algebra Worksheet with Answer Key

5 problems on the fundamental theorem of algebra: degree and roots with multiplicity, reading roots from a degree 5 graph, factoring by grouping into five linear factors, using a complex root to find all roots, and true-or-false claims about roots. 2 pages, with a worked answer key.

5 problems2 pagesanswer key
Printable The fundamental theorem of algebra worksheet with answer key - Algebra 2 (Page 1 PDF preview)
Page 1 of 2

Download

Worksheet PDFAnswer key

Get this sheet

This sheetWorksheet and answer key, yours to keep.
$5
Buy
SubscriptionOpen any sheet in any course, up to 40 a month, keys included. Or $40 month to month.
$25/mo, billed yearly
Subscribe
Full Course Set490+ Algebra 2 PDF files, no limit, yours to keep.
$400once
Buy

Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

The full Algebra 2 courseEvery lesson in teaching order, with over 490 printables.See the course ›

What's on the worksheet

  1. Give the degree of each polynomial and list every root with its multiplicity.
    (x^2 + 6x + 9)(x^2 + 6x + 10)(2x + 1)^2(x^2 - 2x + 5)x^5 - 8x^2
  2. Use the degree 5 graph to find all roots, including non-real ones.
  3. Factor a degree 5 polynomial by grouping and list every root.
  4. Use a given complex root of a quartic with real coefficients to find all four roots.
  5. Decide true or false for each statement about roots, with a reason or example.

Teach it first

The free lesson teaches it with worked examples and practice problems.

The fundamental theorem of algebra: the lesson ›

More Chapter 3 worksheets: Polynomial functions