When doing polynomial long division, what is the remainder when the divisor is a factor of the original polynomial? Answer: Find the polynomial with the degree of 3, the roots: x = 1, x = -2 and x = 3, and f(2)= 8. -2 * 2 1/2 * (x-2) (x - 1)(x + 1) (x-2)(x+4) (x + 2) (x+3)(x - 5)(x-3))

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 11CT
icon
Related questions
Question
When doing polynomial long division, what is the remainder when the divisor is a factor of the original polynomial?
Answer:
Find the polynomial with the degree of 3, the roots: x = 1, x = -2 and x = 3, and f(2)= 8.
*
(x-2)
2 1/2
(x + 3)
(x - 1) (x + 1)
(x - 2)(x + 4) (x + 2)
(x - 5)(x-3),
*
Transcribed Image Text:When doing polynomial long division, what is the remainder when the divisor is a factor of the original polynomial? Answer: Find the polynomial with the degree of 3, the roots: x = 1, x = -2 and x = 3, and f(2)= 8. * (x-2) 2 1/2 (x + 3) (x - 1) (x + 1) (x - 2)(x + 4) (x + 2) (x - 5)(x-3), *
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning