Which of the following are not polynomials? ? plz

A polynomial is defined as an expression that contains constants and variables which are connected together by the various mathematical operations. The important thing to note is that the exponent in a polynomial must be a non-negative integer and the polynomial cannot involve a division by a variable.

Based on this definition we can check the options one by one. Option A satisfies the criteria of a polynomial as exponent of the variable is 1 and there is no division by a variable.

Option B satisfies the definition of polynomial as all exponents are non-negative integers and there is no division by a variable.

Option C involves division by a variable, so it is not a polynomial.

Option D satisfies the definition of polynomial as all exponents are non-negative integers and there is no division by a variable.

Option E satisfies the definition of polynomial as all exponents are non-negative integers and there is no division by a variable.

Option F is not a polynomial as it has a variable in the exponent. The exponents can only be the non-negative integers.

So, the correct options are:
C and F

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for