Question # Perform the indicated divisions of polynomials by monomials. frac{13x^{3}-17x^{2}+28x}{-x}

Polynomial division
ANSWERED Perform the indicated divisions of polynomials by monomials.
$$\frac{13x^{3}-17x^{2}+28x}{-x}$$ 2021-03-09
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 $$-13x^{2}+17x-28$$.