Concept explainers
a.
To use algebra tiles to form a rectangle with area
a.
Explanation of Solution
Given:
The area of model
The factored form from the rectangle can be written as:
The equation:
Calculation:
The factored form from the rectangle can be written as:
Conclusion:
The factored form of equation
b.
To use algebra tiles to form rectangles to represent each area in the table and represent each equation in factored form.
b.
Explanation of Solution
Given:
The area of model
The factored form from the rectangle can be written as:
The equation:
Calculation:
The factored form from the rectangle can be written as:
The factored form from the rectangle can be written as:
The factored form from the rectangle can be written as:
The factored form from the rectangle can be written as:
Conclusion:
The factored form of equations using algebra tiles:
Equation | Factored Form |
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c.
To explain the procedure to find the factored form of an expression.
c.
Explanation of Solution
Consider an example of equation
Now, carry out prime factorization of each term
The prime factorization of term
The prime factorization of term
The common factors of the two terms:
Take these factors common
Hence the factored form of the equation
Chapter 1 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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