Concept explainers
a.
To state:
How is
Given:
The general statement
Concepts Used:
Coefficients of like terms of two equal polynomials are equal.
Calculation:
Write the polynomials in the given general statement
Equate the coefficients of like terms:
And
Conclusion:
b.
To state:
How is
Given:
The general statement
Known from the previous part:
Concepts Used:
Coefficients of like terms of two equal polynomials are equal.
Conclusion:
From the result obtained in previous part,
c.
To state:
How to obtain the numbers in the second column of the table obtained in previous question directly from the coefficients of
The numbers in the second column of the table are obtained by first halving the coefficients of
Given:
The general statement
From answer of previous question:
Completing the Square | ||
Expression | Number of 1-tiles needed to complete the square | Expression written as a square |
Known from the previous parts:
Concepts Used:
Substitution.
Comparison.
Observation:
Note that the numbers in the second column of the table represent
Calculation:
Express
Thus,
Conclusion:
The numbers in the second column of the table are obtained by first halving the coefficients of
Chapter 1 Solutions
Mcdougal Littell Algebra 2: Student Edition (c) 2004 2004
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