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Concept explainers
(a).
To express : the divisor as a polynomial for the given synthetic division.
(a).
![Check Mark](/static/check-mark.png)
Answer to Problem 1OE
The divisor of the given synthetic division is
Explanation of Solution
Given information :
The synthetic division:
As per question,
In synthetic division, the divisor is of the form
The synthetic division:
The divisor of the given synthetic division is
(b).
To express : the dividend as a polynomial for the given synthetic division.
(b).
![Check Mark](/static/check-mark.png)
Answer to Problem 1OE
The dividend of the given synthetic division is
Explanation of Solution
Given information :
The synthetic division:
As per the question,
In synthetic division, the dividend is of the form
In the given synthetic division:
So, the dividend of the given synthetic division is
(c).
To express : the quotient as a polynomial for the given synthetic division.
(c).
![Check Mark](/static/check-mark.png)
Answer to Problem 1OE
The quotient of the given synthetic division is
Explanation of Solution
Given information :
The synthetic division:
As per the question,
In synthetic division, the quotient is of the form
The synthetic division:
So, the quotient of the given synthetic division is
(d).
To express : the remainder as a polynomial for the given synthetic division.
(d).
![Check Mark](/static/check-mark.png)
Answer to Problem 1OE
The remainder of the given synthetic division is
Explanation of Solution
Given information :
The synthetic division:
As per the question,
In synthetic division, the remainder is of the form
The given synthetic division:
So, the remainder of the given synthetic division is
Chapter 8 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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