yes it does
they use numbers not words.
Complex numbers are the square roots of negative numbers. i.e. root -1 = i
You can use computers or other digital equipment. OR You can use numbers and do arithmetic.
computers, calculators
electrical engineers and quantum mechanics use them.
I suggest you read the Wikipedia article con complex numbers, specifically the section "Applications". One example is electrical engineering: in the case of AC, it helps to express all voltages, currents and impedances (equivalent of resistances) as complex numbers.
Yes, many
I'm not sure about how to use complex numbers to do this, but I've posted a link to a pretty neat website about Synthetic Division.
Computers use binary numbers. This is ones and zeros.
using contraction and expansion
when you multiply it with another polynomial
It shows multiple numbers in order to use in addition, subtraction, etc.
Complex numbers can help visualize physical effects like the electromagnetic fields around wires carrying current. Refer to the link below.
Yes. Integers, Real Numbers, and even Complex Numbers can as well.
Computers use the binary system because, electrically, it is the simplest system to use. With the binary system, there are only two types of electrical states: on and off. With other systems, there would have to be different voltages that signify different numbers.
The real numbers together with the imaginary numbers form a sort of vector. What these complex numbers (complex means the combination of real and imaginary numbers) represent depends on the specific situation. Just as there are situations where it doesn't make sense to use negative numbers, or fractional numbers, in many common situations it doesn't make sense to use complex numbers. In an electrical circuit (specifically, AC), the real numbers might represent resistance, while the imaginary number represent reactance - and voltages and currents are also represented by complex numbers, with the angle of the complex number representing how much one quantity is ahead or behind another quantity (the "phase angle"). In quantum mechanics, the complex numbers might not represent anything (perhaps they don't, I am not sure...), but they are useful for calculations.
Any. They can be integers, rational numbers (the same thing if you multiply out by their LCM), real numbers or even complex numbers.
The following websites offer reliable advice on how to fix computers: The Oatmeal, Make Use Of, PC Support, life Hacker, Tech Support Alert, Fixing A Slow Computer, to name a few.
Various engineering fields will use them. Electricity and electronics.
To use complex mode on the Casio fx-82MS, press the "MODE" button repeatedly until you find the option for complex numbers, which is often labeled as "CMPLX" or similar. Once in complex mode, you can input complex numbers in the form a + bi, where "a" is the real part and "b" is the imaginary part. You can then perform calculations like addition, subtraction, multiplication, and division with these complex numbers. To exit complex mode, simply repeat the mode selection process and choose the standard calculation mode.