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Concept explainers
(a)
To calculate: The factors whose product is
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 51PPS
The required factors are
Explanation of Solution
Given information:
The product of the factors is
Calculation:
Given that the product of the factors is
Let the factors be
Now,
Solve the equations for
In equation (1), write
Substitute this value in equation (2).
From the above equation the coefficient are
Split the coefficient of
Thus,
Substitute
Hence, the required factors are
(b)
To fill: the factors in each empty square in the box
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 51PPS
The required box is
Explanation of Solution
Given information:
The given factors are
From 51a. the factors are
Find the equation.
Simplify the above equation.
Thus, the empty square box are filled with
Hence, the required factors are
(c)
To calculate: The factors for each row and column of the box.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 51PPS
The required box is
Explanation of Solution
Given information:
The given equation is
Calculation:
Consider the given equation
In the above equation the coefficient are
Split the coefficient of
Thus,
So the factors are
Hence, the factors are
(d)
To calculate: The factors of the equation
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 51PPS
The required box is
Explanation of Solution
Given information:
The given equation is
Calculation:
Consider the given equation
In the above equation the coefficient are
Split the coefficient of
Thus,
So the factors are
Hence, the factors are
Chapter 8 Solutions
Algebra 1
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