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

waigaK 2020-11-10 Answered
Perform the indicated divisions of polynomials by monomials.
\(\frac{-35x^{5}-42x^{3}}{-7x^{2}}\)

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Expert Answer

cyhuddwyr9
Answered 2020-11-11 Author has 11348 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 \(-7x^{2}\).
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 \(5x^{3}+6x\).
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