remolatg

2021-02-25

Perform the indicated divisions of polynomials by monomials. $\frac{-24{x}^{6}+36{x}^{8}}{4{x}^{2}}$

Sadie Eaton

Skilled2021-02-26Added 104 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 binomial.

To divide a polynomial by monomial, divide each term of the polynomial by the monomial.

Divide the binomial by the monomial$4{x}^{2}$ .

To divide a polynomial by monomial, divide each term of the polynomial by the monomial.

Simplify the terms which are under division.

Calculation:

Consider the polynomial$=\frac{-24{x}^{6}+36{x}^{8}}{4{x}^{2}}$ .

Divide each term of the polynomial by the monomial$4{x}^{2}$ .

$\frac{-24{x}^{6}+36{x}^{8}}{4}{x}^{2}=(-24\frac{{x}^{6}}{4}{x}^{2})+(36\frac{{x}^{8}}{4}{x}^{2})$

$(-24\frac{{x}^{6}}{4}{x}^{2})+(36\frac{{x}^{8}}{4}{x}^{2})=-6{x}^{4}+9{x}^{6}$

The simplified value of polynomial is$-6{x}^{4}+9{x}^{6}$ .

Final statement:

The simplified value of polynomial after division is equals to$6{x}^{4}+9{x}^{6}$ .

Here the given polynomial is a binomial.

To divide a polynomial by monomial, divide each term of the polynomial by the monomial.

Divide the binomial by the monomial

To divide a polynomial by monomial, divide each term of the polynomial 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 polynomial is

Final statement:

The simplified value of polynomial after division is equals to

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

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