Complex Numbers and Imaginary Numbers Flashcards
TRUE/FALSE:
It is possible to take the square root of a negative number.
TRUE
What is this: “i” = √-1
Imaginary unit
The _________ ___ can be used as a part of the square root of ANY negative number.
imaginary “i”
What is the complex form for imaginary numbers?
a + b”i”
or
a - b”i”
where a and b are real numbers.
A _______ ______ is any number that can be written in the form a + b”i.”
complex number
In complex form, a is called…
the real part.
In complex form, b”i” is called…
the imaginary part.
What always works, even by imaginary numbers?
Quadratic formula
What axis do imaginary numbers not hit?
The x-axis.
What can’t you forget in writing the answer for a problem in complex form?
The plus/minus notation.
How do you add and subtract complex numbers?
Add/subtract the real parts and the imaginary parts separately.
How do you multiply complex numbers?
Use FOIL and distributive property, just like with “regular polynomials”
Remember that i^2 =
-1
When using a calculator to solve problems with complex numbers, remember to write
the negative answer also.
