opatovaL

2021-02-25

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

### Answer & Explanation

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 $6{x}^{2}$
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 $6{x}^{2}$.
$\frac{12{x}^{3}-24{x}^{2}}{6{x}^{2}}=\left(\frac{12{x}^{3}}{6{x}^{2}}-\left(\frac{24{x}^{2}}{6{x}^{2}}\right)=2x-4$
The simplified value of polynomial is $2x—4$.
Final statement:
The simplified value of polynomial after division is equals to $2x-4$.

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