Mathematics: Which algebraic expression is a polynomial?

A 3m 6m 3m thag is the answer...

Which algebraic expression is a polynomial?

treaustin656

12.01.2022

The answer is B.

Step-by-step explanation: "Poly" means "many", and "nomial", in this case, meaning "term".

B is the only one with 3 or more different terms.

(negative number, whole number, two unknowns, and a square root)

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shanice13

12.01.2022

The expression which is a polynomial is:

$-6x^3+x^2-\sqrt{5}$

Step-by-step explanation:

A polynomial expression is a expression of the form:

$f(x)=a_nx^n+a_{n-1}x^{n-1}+........+a_1x+a_0$

where n belong to non-negative integers and a_i's are real numbers.

$4x^2-3x+\dfrac{2}{x}$

This is not a polynomial because the third term:

$\dfrac{2}{x}=2x^{-1}$ has a negative poswer of x which violates the definition of polynomial.

$-6x^3+x^2-\sqrt{5}$

In this each of the term satisfy the definition of polynomial and hence the expression is a polynomial expression.

$8x^2+\sqrt{x}$

Here the second term is not a integer power and hence violate the definition of polynomial.

$-2x^4+\dfrac{3}{2x}$

which could also be written as:

$-2x^4+\dfrac{3}{2}x^{-1}$

Here the second term contain a negative power of x and hence is not a polynomial.

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