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Let the function P be defined by P(x) x³ +19x2 +104x + 140, where (x + 2) is a factor. To rewrite the function as the product of linear factors, long division was used but an error was made: x+2 x² + 21x + 146 x3 +19x2 +104x +140 +2x2 21x² +104x + 140 - 21x² +42x 146x - 146x +140 +292 432

Let the function P be defined by P(x) x³ +19x2 +104x + 140, where (x + 2) is a factor. To rewrite the function as the product of linear factors, long division was used but an error was made: x+2 x² + 21x + 146 x3 +19x2 +104x +140 +2x2 21x² +104x + 140 - 21x² +42x 146x - 146x +140 +292 432

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let the function P be defined by P(x) x3 +19x2 +104x + 140, where (x + 2) is a factor. To rewrite the function as the product of linear factors, long division was used but an error was made: x+2 x² + 21x + 146 x3 +19x2 +104x + 140 -x3 +2x² 21x² +104x + 140 -21x² +42x 146x - 146x +140 +292 432 bonummell
Transcribed Image Text:Let the function P be defined by P(x) x3 +19x2 +104x + 140, where (x + 2) is a factor. To rewrite the function as the product of linear factors, long division was used but an error was made: x+2 x² + 21x + 146 x3 +19x2 +104x + 140 -x3 +2x² 21x² +104x + 140 -21x² +42x 146x - 146x +140 +292 432 bonummell
a. How can we tell by looking at the remainder that an error was made somewhere? b. Where is the first place an error occurred? c. Perform the division correctly (using either long or synthetic) to find all factors of P(x). Be sure to show your work (preferably handwritten).
Transcribed Image Text:a. How can we tell by looking at the remainder that an error was made somewhere? b. Where is the first place an error occurred? c. Perform the division correctly (using either long or synthetic) to find all factors of P(x). Be sure to show your work (preferably handwritten).
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