Question

Raghav says (1)/(x^(2)+4x+5) is a polynomial.Do you agree with him? Give reason.​

Answer 1

Answer:

No it is not.

Here x² is in denominator,

if u get it up it will become (x)-²

or the power becomes negative.

∴ This cannot happen in a polynomial

Hope it helped

:)

Answer 2

Given:

The polynomial is:

$\frac{1}{ {x}^{2} + 4x + 5}$

To find:

Whether it is a polynomial or not.

Solution:

One of the conditions of an equation to be treated as a polynomial is that the exponent/power of x must be positive. Here since

${x}^{2}$

is in the denominator if we take it up in the numerator the exponent of x would become negative i.e.

${x}^{ - 2}$

Yes, I agree with Raghav, the given expression is not polynomial.