Question

Which algebraic expression is a polynomial? 4x2 – 3x + StartFraction 2 Over x EndFraction –6x3 + x2 – StartRoot 5 EndRoot 8x2 + StartRoot x EndRoot –2x4 + StartRoot 3 Over 2 x EndRoot

Answer 1

Explanation:

"4x2 – 3x + StartFraction 2 Over x EndFraction" is definitely not a polynomial because one of the exponents of x is negative.

"–6x3 + x2 – StartRoot 5 EndRoot" is a polynomial because all of the exponents of x are integers 0 or greater.

The presence of any root (fractional exponents included) of the variable x automatically disqualifies such expression: it's not a polynomial.

Answer 2

Answer: B.

Explanation:

Polynomial of one variable:It is that expression in which power of each variable in the given should be a whole number.The highest power of variable is called degree of polynomial.

Power of variable in given terms cannot be negative or fraction.

A.

It can be write as

By definition of polynomial of one variable , it is not a polynomial.

B.

By definition of polynomial of one variable , it is a polynomial.

C.

By definition of polynomial of one variable, it is not a polynomial.

D.

By definition of polynomial of one variable,it is not a polynomial.

Hence, option B is true.