Is the expression on the numerator polynomial? a f(x)=\{5} {x}
Answers
Answer:
x×x×x×x×x = 5x
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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,
y
5x
4
+7x
2
y
2
−8
is not a polynomial.