Concept explainers
To classify the polynomial as prime polynomial, difference of squares or perfect square trinomial.
Answer to Problem 11SGR
Difference of squares
Explanation of Solution
Given:
Polynomial:
Concept used:
Prime polynomial:
A polynomial with integer coefficients that cannot be reduced to a polynomial of a lower degree is a prime polynomial
Difference of squares:
A polynomial is called difference of squares when each term is a perfect square.
Difference of squares is of the form
Perfect square trinomial:
A perfect square trinomial is a polynomial with three terms which can be created by multiplying a binomial to itself.
Perfect square trinomial is of the form
Calculation:
Consider the given polynomial,
On closely examining the polynomial,
The polynomial is of the form
Thus, it can be written as
Conclusion:
Thus, the given polynomial is classified as difference of squares.
Chapter 8 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Introductory Statistics
Elementary Statistics: Picturing the World (7th Edition)
A First Course in Probability (10th Edition)
Pre-Algebra Student Edition
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
- 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