PLEASE HELP TIMED
Which algebraic expression is a trinomial?
A x^3 + x^2 –square root of x
B 2x^3 – x^2
C 4x^3 + x^2 – 1 over x
D x^6 – x + square root of 6

Respuesta :

A trinomial is a polynomial with 3 terms.

but it doen'y include terms whiich have division by a variable.
so these 2 statements disallow  B and C

I don't think A is a polynomial

D is the correct choice.

Answer:

D. x^6 - x + √6

Step-by-step explanation:

First let's see what a trinomial is.

A trinomial is a polynomial consists of three terms. The polynomial will not contain the fraction  and negative exponents. The exponent/power of variable must be a whole number.

Now let's check out the options.

A. x^3 + x^2 - [tex]\sqrt{x}[/tex]

It has three terms but in the last term we have √x which is x^1/2. Since the exponent is 1/2 it is not a polynomial.

B. 2x^3 - x^2, which has only two terms. This is not a trinomial.

C. 4x^3 + x^2 -1/x, this can be written as 4x^3 + x^2 - x^-1, here the last term's exponent is -1. Therefore, this is not a polynomial.

D. x^6 - x + √6

This is a trinomial.