Complex numbers are theoretically interesting; they help us better understand the real numbers in some cases.They also have some very practical applications, including:
* Electrical circuits - in AC, things like resistance, current, and voltage acquire a phase angle, thus becoming complex numbers.
* Quantum mechanics - the probability amplitude is described with a complex number. As a result, complex numbers basically permeate all of quantum mechanics.
electrical engineers and quantum mechanics use them.
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.
using contraction and expansion
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
Complex numbers are the square roots of negative numbers. i.e. root -1 = i
yes it does
electrical engineers and quantum mechanics use them.
Yes, many
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.
Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.
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.
using contraction and expansion
when you multiply it with another polynomial
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
No. Complex numbers is the highest set of numbers you can go, and there are no sets outside of complex numbers.
Complex numbers can help visualize physical effects like the electromagnetic fields around wires carrying current. Refer to the link below.