y+3/y is a polynomial or not ?
Answers
Answer: No it is not a polynomial.
Explanation: The power of y in the second term is -1. Thus it is not a polynomial.
Answer=We know that a polynomial is a mathematical expression consisting of a sum of terms, each term including a variable or variables raised to a power (usually positive whole number) and multiplied by a coefficient.
The simplest polynomials have one variable.
A one-variable polynomial of degree n has the following form:
a
n
x
n
+a
n−1
x
n−1
+...+a
2
x
2
+a
1
x
1
+a
where, the a's represent the coefficients and x represents the variable.
Now, in the expression
y
5x
4
+7x
2
y
2
−8
, it is clear that the variable y is in the denominator which means that the exponent of the variable y will become −1 when it will be expressed as a numerator and we know that −1 is a negative number, so the expression is not a polynomial.
Hence, is not a polynomial
y
5x
4
+7x
2
y
2
− 8