Question

Explain why the expression 9x^3+1/2x^2+3x^-1 is not a polynomial

Answer 1

Answer:

The given expression can't be expressed in polynomial form. Hence, it is not a polynomial.

Step-by-step explanation:

P(x,n) is a polynomial of nth degree if it is of the form,

P(x,n) = $a_{0} + a_{1}x + a_{2}x^{2} + a_{3}x^{3} + ......... +a_{n}x^{n}$

where n is a finite positive integer and n ∈ N

and '$a_{i}$'s are fixed but otherwise arbitrary constants ∀  i = 0(1)n .

Now, the given expression is,

$9x^{3} + \frac {1}{2x^{2}} + 3x^{-1}$

which  doesn't fit in the above form. Hence, it is not a polynomial.