Factoring Complex Numbers

Directions: Find Integers a,b,c,d such that:

Hint

What relationships do you need to know?
What elements do you need to have in your graph?

Answer

Answers can vary, one solution is:
(5 + 2i)(3 + 6i)

Source: Bryan Anderson

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3 comments

  1. Factoring Complex Numbers
    Another great little brain teaser. I’ll probably put a few of these together and give to class as a group challenge.

  2. Does this deal with polar coordinators or multiplying vectors too?

  3. Lovely question.
    Taking away the integer limitation an answer could be (5sqrt3 + 2isqrt3)(sqrt3+ 2isqrt3).
    Kings College Alicante, Spain

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