The area is the amount of space in a 2-D object. A polynomial can be almost every object you can think of. You have to be specifica nd ask which polynomial you want the area to be found in.
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Find values of the variable for which the value of the polynomial is zero.
You need to find the perimeter at the first few iterations and find out what the sequence is. It could be an arithmetic sequence or a polynomial of a higher degree: you need to find out the generating polynomial. Then substitute the iteration number in place of the variable in this polynomial.
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
It is the highest power of the variable in the expression.
Use factorials.