i.
To identify: The exponent of n if one of the terms contains
The required exponent of n is 6.
Given information:
The given binomial is
Explanation:
Consider the given binomial.
In the expansion of the binomial
It is given that one of the terms contains
Since, the sum of the power of m , n must be equal to 9 in each term.
Thus, the required exponent is n is 6.
ii.
To identify: The coefficient if one of the terms contains
The required coefficient is 489,888
Given information:
The given binomial is
Explanation:
Consider the given binomial.
The power of the given binomial is 9 so use the ninth-row of pascal’s triangle.
So, the element of the 9th row of the pascal’s triangle are 1, 9, 36, 84, 126, 126, 84, 36, 9 1. Which is the coefficient of the consecutive terms.
Binomial theorem states that:
Coefficient of
The term which contains
Here
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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