Rui Baldwin

2021-03-08

Perform the indicated divisions of polynomials by monomials.

$\frac{13{x}^{3}-17{x}^{2}+28x}{-x}$

smallq9

Skilled2021-03-09Added 106 answers

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:$\frac{13{x}^{3}-17{x}^{2}+28x}{-x}$

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

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

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

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

Final statement:

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

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:

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

The simplified value of the polynomial is

Final statement:

The simplified value of the polynomial after division is equals to

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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