Question

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

Answer 1

The Answer is B

Explanation:

Answer 2

B.
`-6x^3+x^2-\sqrt5`

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.
`4x^2-3x+(2)/(x)`

It can be write as

`4x^2-3x+2x^(-1)`

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

B.
`-6x^3+x^2-\sqrt5`

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

C.
`8x^2+√(x)`

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

D.
`-2x^4+(3)/(2x)`

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

Hence, option B is true.