Concept explainers
a.
To use algebra tiles to form a rectangle with area
Equation in factored form
Given:
The area of model
The factored form from the rectangle can be written as:
The equation:
Calculation:
can be represented by using algebra tiles to form a rectangle as shown:
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.
Equation | Factored Form |
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Given:
The area of model
The factored form from the rectangle can be written as:
The equation:
Calculation:
can be represented by using algebra tiles to form a rectangle as shown:
The factored form from the rectangle can be written as:
can be represented by using algebra tiles to form a rectangle as shown:
The factored form from the rectangle can be written as:
can be represented by using algebra tiles to form a rectangle as shown:
The factored form from the rectangle can be written as:
can be represented by using algebra tiles to form a rectangle as shown:
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.
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
High School Math 2011 Algebra 1(prentice Hall) Student Edition
Additional Math Textbook Solutions
College Algebra with Modeling & Visualization (6th Edition)
Elementary Algebra
PREALGEBRA
Linear Algebra with Applications (2-Download)
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
A Graphical Approach to College Algebra (6th Edition)
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