Concept explainers
(a)
The complete table.
(a)
Explanation of Solution
The table can be completed as:
Polynomial | Factored Polynomial | First term | Last Term | Middle Term |
(2x+3)(2x+3) | 4x2=(2x)2 | 9=32 | 12x | |
(3x-4)(3x-4) | 9x2=(3x)2 | 16=42 | -24x | |
(2x-5)(2x-5) | 4x2=(2x)2 | 25=52 | -20x | |
(4x+3)(4x+3) | 16x2=(4x)2 | 9=32 | 24x | |
(5x+2)(5x+2) | 25x2=(5x)2 | 4=22 | 20x |
(b)
The middle term of each polynomial.
(b)
Explanation of Solution
Given:
The given equation is:
Calculation:
The solution for the given equation can be obtained as:
(c)
The pattern for a perfect square.
(c)
Explanation of Solution
Given:
The given equation is:
Calculation:
The solution for the given equation can be obtained as:
(d)
The necessary conditions.
(d)
Explanation of Solution
The first and last terms must be perfect squares and the middle term must be 2 times the square roots of first and last terms.
Chapter 8 Solutions
Algebra 1
Additional Math Textbook Solutions
College Algebra
Linear Algebra and Its Applications (5th Edition)
College Algebra (7th Edition)
PREALGEBRA
College Algebra
Elementary Algebra
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education