# Perform the indicated divisions of polynomials by monomials. frac{-35x^{5}-42x^{3}}{-7x^{2}}

Perform the indicated divisions of polynomials by monomials.
$$\frac{-35x^{5}-42x^{3}}{-7x^{2}}$$

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cyhuddwyr9
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 $$-7x^{2}$$.
Simplify the terms which are under division.
Calculation:
Consider the polynomial $$\frac{-35x^{5}-42x^{3}}{-7x^{2}}$$
Divide each term of the polynomial by the monomial $$-7x^{2}$$.
$$\frac{-35x^{5}-42x^{3}}{-7x^{2}} = (\frac{-35x^{5}}{-7x^{2}})+(\frac{-42x^{3}}{-7x^{2}})$$
$$(\frac{-35x^{5}}{-7x^{2}})+(\frac{-42x^{3}}{-7x^{2}})= 5x^{3}+6x$$.
The simplified value of polynomial is $$5x^{3}+6x$$.
Final statement:
The simplified value of the polynomial after division is equal to $$5x^{3}+6x$$.