Question

Identify which of the following is not a polynomial a) 7x² b) 8y²−3/y³ c)5/9 d) 8a³−9b³​

Answer 1

QUESTION❓

Identify which of the following is not a polynomial a) 7x² b) 8y²−3/y³ c)5/9 d) 8a³−9b³

ANSWER

C AND B ARE NOT POLYNOMIAL

Answer 2

Given :

a) 7x²

b) 8y²−3/y³

c)5/9

d) 8a³−9b³​

To Find : Identify which  is not a polynomial

Solution:

A monomial is number, a variable, or a product of numbers and variables with whole number exponents.

A polynomial is a monomial or a sum of monomials.

a) 7x²   exponent 2 is  a whole  number hence this is a polynomial

b) 8y²−3/y³  

= 8y² - 3y⁻³  

exponent -3 is not a whole number

Hence this is not  a polynomial

c)5/9

= (5/9)  x⁰

Exponent  0 is  a whole number

Hence this is also a polynomial

d) 8a³−9b³​

Exponent  3 is a whole number

Hence this is also a polynomial

So 8y²−3/y³ is not a polynomial

correct option is b) 8y²−3/y³

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