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,...
Related questions
Question
When a polynomial is divided by -7x+4, the quotient is x-3 and the remiander is 6. What is the dividend?
Example below
![35.) When a polynomial is divided by \((-2x + 5)\), the quotient is \((x + 7)\) with a remainder of 10. What is the dividend?
\[
\frac{\text{Poly}}{-2x+5} = (x+7) + 10
\]
**Solution:**
\[
\text{Poly} = (-2x + 5)(x + 7) + 10
\]
Expanding the expression:
\[
= -2x^2 - 14x + 5x + 35 + 10
\]
Combine like terms:
\[
= -2x^2 - 9x + 45
\]
The **dividend**, highlighted, is:
\[
-2x^2 - 9x + 45
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F214831c2-5a2f-4a84-b5dd-77a7a2998efb%2Ffb20f54d-87e6-4542-94ce-72e6c42c33dd%2F6ozrg32_processed.png&w=3840&q=75)
Transcribed Image Text:35.) When a polynomial is divided by \((-2x + 5)\), the quotient is \((x + 7)\) with a remainder of 10. What is the dividend?
\[
\frac{\text{Poly}}{-2x+5} = (x+7) + 10
\]
**Solution:**
\[
\text{Poly} = (-2x + 5)(x + 7) + 10
\]
Expanding the expression:
\[
= -2x^2 - 14x + 5x + 35 + 10
\]
Combine like terms:
\[
= -2x^2 - 9x + 45
\]
The **dividend**, highlighted, is:
\[
-2x^2 - 9x + 45
\]
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