Is #(sqrt(-1))x = 0 # a Polynomial?
3 Answers
No.
Explanation:
Polynomials have real coefficients and non negative exponents.
By my definition it is not a polynomial.
Explanation:
In my humble opinion, the equation given is not a polynomial as it does not have more than one term. The prefix "poly" suggests more than one.
[Definition from www.mathisfun.com](https://www.mathsisfun.com/definitions/polynomial.html)
An expression that can have constants, variables and exponents, that can be combined using addition, subtraction, multiplication and division, but:
• no division by a variable.
• a variable's exponents can only be 0,1,2,3,... etc.
• it can't have an infinite number of terms.
Yes - it is a polynomial equation.
Explanation:
The expression
So the given expression can be rewritten:
#ix = 0#
This is a linear polynomial equation.
Polynomials can have coefficients that are integers, rational numbers, irrational numbers, complex numbers, elements of rings or even semi-rings.
