opatovaL

2021-02-25

Perform the indicated divisions of polynomials by monomials.

$\frac{12{x}^{3}-24{x}^{2}}{6{x}^{2}}$

pierretteA

Skilled2021-02-26Added 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 binomial.

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

Divide the trinomial by the monomial$6{x}^{2}$

Simplify the terms which are under division.

Calculation:

Consider the polynomial$\frac{12{x}^{3}-24{x}^{2}}{6{x}^{2}}$ .

Divide each term of the polynomial by the monomial$6{x}^{2}$ .

$\frac{12{x}^{3}-24{x}^{2}}{6{x}^{2}}=(\frac{12{x}^{3}}{6{x}^{2}}-(\frac{24{x}^{2}}{6{x}^{2}})=2x-4$

The simplified value of polynomial is$2x\u20144$ .

Final statement:

The simplified value of polynomial after division is equals to$2x-4$ .

Here the given polynomial is a binomial.

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 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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