Question

Which algebraic expression is a trinomial? x3 x2 â€"" StartRoot x EndRoot 2x3 â€"" x2 4x3 x2 â€"" StartFraction 1 Over x EndFraction x6 â€"" x StartRoot 6 EndRoot.

Answer 1

The given expression can be solved by using types of the polynomial.

The algebraic expression is a trinomial is $\rm 2x^3-x^2$.

We have to determine, which algebraic expression is a trinomial?

According to the question,

Trinomial polynomial;

‘Tri’ stands for three and ‘mial’ stands for terms thus an algebraic expression with three unlike terms are called trinomials.

The definition of polynomial needs integer exponents of variable and integer coefficients of the variable.

To determine the algebraic expression is a trinomial following all the steps given below.

1. The algebraic expression is,

$\rm x^3+x^2-\sqrt{1}$

The expression is not trinomial as well as polynomial because it contains a square root function.

2.  The algebraic expression is,

$\rm 2x^3-x^2$

The expression is trinomial because it has degree 3 and it's a polynomial.

3. .  The algebraic expression is,

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

The expression is not trinomial degree 4 due to 1/x and thus not a trinomial.

4. . The algebraic expression is,

$\rm x^6-x-\sqrt{6}$

The expression is not trinomial as well as polynomial because it contains a square root function.

For more details about Polynomial refer to the link given below.

https://brainly.com/question/25971693