Perform the indicated divisions of polynomials by monomials. (-27a^3b^4-36a^2b^3+72a^2b^5)/(9a^2b^2)

Jaya Legge 2021-02-19 Answered

Perform the indicated divisions of polynomials by monomials.
27a3b436a2b3+72a2b59a2b2

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Expert Answer

ensojadasH
Answered 2021-02-20 Author has 100 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 trinomial.
To divide a polynomial by monomial, divide each term of the polynomial by the monomial.
Divide the trinomial by the monomial 9a2b2.
Simplify the terms which are under division.
Calculation:
Consider the polynomial 27a3b436a2b3+72a2b59a2b2.
Divide each term of the polynomial by the monomial 9a2b2.
27a3b436a2b3+72a2b59a2b2=(27a3b49a2b2)+(36a2b39a2b2)+(72a2b59a2b2)=
=3ab24b+8b3
The simplified value of the polynomial is 3ab24b+8b3.
Final statement:
The simplified value of the polynomial after division is equals to 3ab24b+8b3.
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