Concept explainers
To evaluate: A polynomial function for given x , using synthetic substitution.
The required value of
Given data: The given polynomial function is
Concept used:
If
R is obtained by synthetic substitution.
Calculations:
The given polynomial in standard form is
Step1: First write the coefficients of polynomial function
Step2: Bring down the leading coefficient and multiply it by x value. Write the product under second coefficient and add,
Step3: Multiply the sum (1) under second coefficient by x -value and write it under third coefficient and add as:
Step3: Multiply the sum (-1) under third coefficient by x -value and write it under next coefficient and add as:
Step4: Multiply the sum (5) under fourth coefficient by x -value and write it under next coefficient that is constant and add as:
Thus, synthetic substitution gives
Check by direct substitution:
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- 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