To match : The vocabulary term with the description that best fits it.
1-D, 2-B, 3-C, 4-A.
Given information :
1. Conjugate Root Theorem 2. Fundamental Theorem of Algebra 3. Rational Root Theorem 4. Remainder Theorem | A. Determines B. The degree equals the number of roots. C. Minimizes guessing fraction and integer solutions. D. |
Explanation :
According to the Conjugate Root Theorem, if a root of a polynomial is a complex number, say
According to theFundamental Theorem of Algebra, the degree of a polynomial equation tells the number of roots an equation will have. So, if
According to theRational Root Theorem, if the coefficient of a polynomial is integers then it becomes easy to find all the possible rational roots. The roots can be found by dividing each factor of the constant term by each factor of the leading coefficient. It is used to find the rational solution of a polynomial equation.
According to the Remainder theorem, when a polynomial
So,
Therefore,
1-D, 2-B, 3-C, 4-A.
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