Question

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

Polynomial division
ANSWERED
asked 2021-02-25
Perform the indicated divisions of polynomials by monomials.
\(\frac{12x^{3}-24x^{2}}{6x^{2}}\)

Answers (1)

2021-02-26
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 \(2x-4\).
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