# Perform the indicated divisions of polynomials by monomials. frac{12x^{3}-24x^{2}}{6x^{2}}

Perform the indicated divisions of polynomials by monomials.
$$\frac{12x^{3}-24x^{2}}{6x^{2}}$$

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pierretteA
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 $$6x^{2}$$
Simplify the terms which are under division.
Calculation:
Consider the polynomial $$\frac{12x^{3}-24x^{2}}{6x^{2}}$$.
Divide each term of the polynomial by the monomial $$6x^{2}$$.
$$\frac{12x^{3}-24x^{2}}{6x^{2}} = (\frac{12x^{3}}{6x^{2}} - (\frac{24x^{2}}{6x^{2}}) = 2x-4$$
The simplified value of polynomial is $$2x — 4$$.
Final statement:
The simplified value of polynomial after division is equals to $$2x-4$$.