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22. Estuardo divided a polynomial by a linear binomial using synthetic division. His quotient is 4x3 – 5x² + 2x – 9 + What was the divisor, the linear binomial that he divided by? How do you know?

22. Estuardo divided a polynomial by a linear binomial using synthetic division. His quotient is 4x3 – 5x² + 2x – 9 + What was the divisor, the linear binomial that he divided by? How do you know?

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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**Question 22:** Estuardo divided a polynomial by a linear binomial using synthetic division. His quotient is \(4x^3 - 5x^2 + 2x - 9 + \frac{4}{x+2}\). What was the divisor, the linear binomial that he divided by? How do you know? --- To find the divisor, one must understand that in synthetic division, any remainder represents a fraction of the form \(\frac{\text{Remainder}}{\text{Divisor}}\). Here, the remainder is expressed as \(\frac{4}{x+2}\), leading to the conclusion that the divisor is \(x + 2\).
Transcribed Image Text:**Question 22:** Estuardo divided a polynomial by a linear binomial using synthetic division. His quotient is \(4x^3 - 5x^2 + 2x - 9 + \frac{4}{x+2}\). What was the divisor, the linear binomial that he divided by? How do you know? --- To find the divisor, one must understand that in synthetic division, any remainder represents a fraction of the form \(\frac{\text{Remainder}}{\text{Divisor}}\). Here, the remainder is expressed as \(\frac{4}{x+2}\), leading to the conclusion that the divisor is \(x + 2\).
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