math.wiki
Worksheets › Algebra 2 › Chapter 2
Sign in
Algebra 2 · Chapter 2 · Lesson 2.6 · Printable PDF

Complex Roots Come in Pairs Worksheet with Answer Key

5 problems on complex roots in conjugate pairs: deciding which pairs can be roots of a real quadratic, building a quadratic from one complex root, why the constant term is positive, real versus complex coefficients, and factoring a cubic. 1 page, with a worked answer key.

5 problems1 pagesanswer key
Printable Complex roots come in pairs worksheet with answer key - Algebra 2 (Page 1 PDF preview)
Page 1 of 1

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. Decide yes or no whether each pair can be the roots of a real quadratic, with reasons.
    4i and -4i2 + i and -2 + i−5 and 71 + i, as a double rooti and 2
  2. Find the real quadratic with a given complex root and y-intercept.
  3. Explain why a quadratic with non-real roots has a positive constant term, and test the converse.
  4. Compare two quadratics, one with real and one with complex coefficients, at a complex number and its conjugate.
  5. Show 3 is a root of a cubic, factor it and find the other two roots.

Teach it first

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

Complex roots come in pairs: the lesson ›

More Chapter 2 worksheets: Quadratics and complex numbers