To factor the below expression completely:
Answer to Problem 41WE
Explanation of Solution
Given:
Concept Used:
- To factor a polynomial completely:
- First take out the greatest monomial.
- Look for a difference of squares and a perfect square trinomial.
- If a trinomial is not a square, look for a pair of binomial factors.
- Make sure that each binomial or trinomial factor is prime.
Calculation:
To factor the expression:
First note the common factor in each term and factor it out. Since,
Now, factorize the second term of above expression,
Thus,
Now, note that each factors
Thus, factor of given polynomial is:
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
Additional Math Textbook Solutions
Linear Algebra with Applications (2-Download)
Elementary and Intermediate Algebra
Intermediate Algebra
College Algebra
Linear Algebra and Its Applications (5th Edition)
Algebra and Trigonometry
- 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