A polynomial is an expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a non-negative integral power.

Here the given polynomial is a trinomial.

To divide a polynomial by monomial, divide each term of the polynomial by the monomial.

Divide the trinomial by the monomial —x.

Simplify the terms which are under division.

Calculation:

Consider the polynomial: \(\frac{13x^{3}-17x^{2}+28x}{-x}\)

Divide each term of the polynomial by the monomial —x.

\(\frac{13x^{3}-17x^{2}+28x}{-x}=(12\frac{x^{3}}{-x})+(-17\frac{x^{2}}{-x})+(28\frac{x}{-x})\)

\(=-(13\frac{x^{3}}{x})+(-17\frac{x^{2}}{-x})+(28\frac{x}{-x})=-13x^{2}+17x-28\).

The simplified value of the polynomial is \(-13x^{2} + 17x -28\).

Final statement:

The simplified value of the polynomial after division is equals to \(-13x^{2}+17x-28\).

Here the given polynomial is a trinomial.

To divide a polynomial by monomial, divide each term of the polynomial by the monomial.

Divide the trinomial by the monomial —x.

Simplify the terms which are under division.

Calculation:

Consider the polynomial: \(\frac{13x^{3}-17x^{2}+28x}{-x}\)

Divide each term of the polynomial by the monomial —x.

\(\frac{13x^{3}-17x^{2}+28x}{-x}=(12\frac{x^{3}}{-x})+(-17\frac{x^{2}}{-x})+(28\frac{x}{-x})\)

\(=-(13\frac{x^{3}}{x})+(-17\frac{x^{2}}{-x})+(28\frac{x}{-x})=-13x^{2}+17x-28\).

The simplified value of the polynomial is \(-13x^{2} + 17x -28\).

Final statement:

The simplified value of the polynomial after division is equals to \(-13x^{2}+17x-28\).