Question

Which algebraic expression is a trinomial?

x3 + x2 – StartRoot x EndRoot
2x3 – x2
4x3 + x2 – StartFraction 1 Over x EndFraction
x6 – x + StartRoot 6 EndRoot

Answer 1

Answer:

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

Step-by-step explanation:

A trinomial expression is that expression which has three terms.

Now,from the given options

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

This is not trinomial.Although it has three terms but a valid polynomial doesn't have fraction powers of x.Because of its third term it is not a trinomial.

$2)2 {x}^{3} - {x}^{2}$

This is not trinomial,because it has only two terms.

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

It is not a trinomial.A polynomial

doesn't have negative powers of x.Because of its third term it is not a polynomial.

$4) {x}^{6} - x + \sqrt{6}$

It is trinomial.Hence it has three terms and power of x are positive.

Hope it helps you.

Answer 2

Answer:

4x3 + x2 – StartFraction 1 Over x EndFraction

Step-by-step explanation: