Question

Which represents the polynomial below written in standard form? StartFraction x squared Over 2 EndFraction â€"" 3x 4x3 6 6 StartFraction x squared Over 2 EndFraction â€"" 3x 4x3 4x3 StartFraction x squared Over 2 EndFraction â€"" 3x 6 â€""3x 4x3 6 StartFraction x squared Over 2 EndFraction StartFraction x squared Over 2 EndFraction 4x3 â€"" 3x 6.

Answer 1

The standard form of the polynomial is $\rm 4x^3 +\dfrac{x^2}{2}-3x+6$ and it can be determined by using properties of the polynomial.

Given that,

The given polynomial is,

$\rm \dfrac{x^2}{2}-3x+4x^3+6$

We have to determine,

The standard form of the polynomial.

According to the question,

Polynomial;

A polynomial is considered to be written in standard form if it is expressed in such a way that the term with the highest degree is written first, followed by the term which has the next highest degree,

The standard form of a polynomial is a method of writing polynomials with the exponents in decreasing order.

The standard form of the given polynomial is,

$\rm \dfrac{x^2}{2}-3x+4x^3+6$

Arrange the power of the polynomial in decreasing order,

The standard form of the polynomial is,

$\rm 4x^3 +\dfrac{x^2}{2}-3x+6$

Hence, The standard form of the polynomial is $\rm 4x^3 +\dfrac{x^2}{2}-3x+6$.

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

https://brainly.com/question/16301655