Jaya Legge

2021-02-19

Perform the indicated divisions of polynomials by monomials.

ensojadasH

Skilled2021-02-20Added 100 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$9{a}^{2}{b}^{2}$ .

Simplify the terms which are under division.

Calculation:

Consider the polynomial$\frac{-27{a}^{3}{b}^{4}-36{a}^{2}{b}^{3}+72{a}^{2}{b}^{5}}{9{a}^{2}{b}^{2}}$ .

Divide each term of the polynomial by the monomial$9{a}^{2}{b}^{2}$ .

$\frac{-27{a}^{3}{b}^{4}-36{a}^{2}{b}^{3}+72{a}^{2}{b}^{5}}{9{a}^{2}{b}^{2}}=(-27{a}^{3}\frac{{b}^{4}}{9}{a}^{2}{b}^{2})+(-36{a}^{2}\frac{{b}^{3}}{9}{a}^{2}{b}^{2})+(72{a}^{2}\frac{{b}^{5}}{9}{a}^{2}{b}^{2})=$

$=3a{b}^{2}-4b+8{b}^{3}$

The simplified value of the polynomial is$3a{b}^{2}-4b+8{b}^{3}$ .

Final statement:

The simplified value of the polynomial after division is equals to$3a{b}^{2}-4b+8{b}^{3}$ .

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

Simplify the terms which are under division.

Calculation:

Consider the polynomial

Divide each term of the polynomial by the monomial

The simplified value of the polynomial is

Final statement:

The simplified value of the polynomial after division is equals to

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