Concept explainers
To find : the polynomial Q ( x ) and the constant R .
Answer to Problem 19WE
Explanation of Solution
Given information :
The given equation:
Formula used :
In the division of a polynomial by a binomial
Dividend = (divisor) (quotient)
The divisor in a synthetic division is a binomial of the form
Calculation :
As per the problem,
In the given equation:
The polynomial (dividend) is
The binomial (divisor) is
To find the quotient and the remainder, divide
Use
The quotient is
Therefore,
Comparing with the given equation,
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Algebra and Trigonometry: Structure and Method, Book 2
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