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

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

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

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

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

Final statement:

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

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

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

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

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

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

Final statement:

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