Perform the indicated divisions of polynomials by monomials. frac{-16x^{4}+32a^{3}-56a^{2}}{-8a}

Annette Arroyo

Annette Arroyo

Answered question

2021-02-12

Perform the indicated divisions of polynomials by monomials.
16x4+32a356a28a

Answer & Explanation

timbalemX

timbalemX

Skilled2021-02-13Added 108 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 -8a.
Simplify the terms which are under division.
Calculation:
Consider the polynomial 16x4+32a356a28a
Divide each term of the polynomial by the monomial —8a.
16x4+32a356a28a=(16x48a)+(32a38a)+(56a28a)
(16x48a)(32a38a)+(56a28a)=2a34a2+7a.
The simplified value of the polynomial is 2a34a2+7a.
Final statement:
The simplified value of the polynomial after division is equals to 2a34a2+7a.

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