What will be the expression of the polynomial
Asked by admin @ in Math viewed by 276 People
What will be the expression of the polynomial?
Answered by admin @
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:
where, the a's represent the coefficients and x represents the variable.
Now, consider the given options:
(a)
can be rewritten as x+x
−1
, which is not a polynomial because the exponent of the variable x is −1 which is a negative number.
(b)
[/tex]x
+x+x
2[/tex]
can be rewritten as x
2
, which is not a polynomial because the exponent of the variable x is
is a mathematical expression consisting of a sum of terms, each term including a variable or variables raised to a power and multiplied by a coefficient. Also, the exponent of the variable x is a whole number.
Therefore,
which is not a polynomial because the exponent of the variable x is −2, which is a negative number.
Hence, the expression
is not a polynomial.
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