Question

1/x²+1/X⁴+7 is an expressions of polynomials or not. If not give reason?

Answer 1

Hey there! Thanks for the question!

Polynomial is a algebraic expression in which the power of the variables involved are non negative integral.

Here,
Given polynomial

= 1/x² + 1/x⁴+ 7

=
${x}^{ - 4} + {x}^{ - 2} + 7$

Powers of the variables = -4 , -2

-2 , -1 are negative integers.

It is not a expression of a polynomial.

Therefore , 1/x²+ 1/x^4 + 7 being a expression involving non negative integral powers is not a polynomial.

Wish helps !

Answer 2

Hi ,

******************************************
Polynomial :

Polynomials are algebraic expressions

constructed using ' constants ' and

' variables ' coeffients operate on

variables , which can be raised to

various powers of non-negative integer

exponents .

*****************************************

Here ,

1/x² + 1/x⁴ + 7

= x^-2 + x^-4 + 7 is not a polynomial

because The first two terms has

negative integer exponents .

i.e

first term term has negative exponent

-2 and second term has negative

exponent -4.

I hope this helps you.

: )