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?

What elements do you need to have in your graph?

### Answer

Answers can vary, one solution is:

(5 + 2i)(3 + 6i)

(5 + 2i)(3 + 6i)

Source: Bryan Anderson

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.

Does this deal with polar coordinators or multiplying vectors too?

Lovely question.

Taking away the integer limitation an answer could be (5sqrt3 + 2isqrt3)(sqrt3+ 2isqrt3).

Kings College Alicante, Spain