floymdiT

2021-03-09

Perform the indicated divisions of polynomials by monomials.

$\frac{14xy-16{x}^{2}{y}^{2}-20{x}^{3}{y}^{4}}{-xy}$

irwchh

Skilled2021-03-10Added 102 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 —xy.

Simplify the terms which are under division.

Calculation:

Consider the polynomial$\frac{14xy-16{x}^{2}{y}^{2}-20{x}^{3}{y}^{4}}{-xy}$

Divide each term of the polynomial by the monomial -xy.

$\frac{14xy-16{x}^{2}{y}^{2}-20{x}^{3}{y}^{4}}{-xy}=(\frac{14xy}{-xy})+(\frac{-16{x}^{2}}{-xy})+(\frac{-20{x}^{3}{y}^{4}}{-xy})$

$-(\frac{14xy}{-xy})+(\frac{-16{x}^{2}}{-xy})+(\frac{-20{x}^{3}{y}^{4}}{-xy})=-14+16xy+20{x}^{2}{y}^{3}$ .

The simplified value of the polynomial is$-14+16xy+20{x}^{2}{y}^{3}$ .

Final statement:

The simplified value of the polynomial after division is equals to$-14+16xy+20{x}^{2}{y}^{3}$ .

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 —xy.

Simplify the terms which are under division.

Calculation:

Consider the polynomial

Divide each term of the polynomial by the monomial -xy.

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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