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
311,321
![## 5.4 Dividing Polynomials
### Exercises
311. \((2n^3 - 10n + 28) \div (n + 3)\)
312. \((z^3 + 1) \div (z + 1)\)
313. \((m^3 + 1000) \div (m + 10)\)
314. \((64x^3 - 27) \div (4x - 3)\)
315. \((125y^3 - 64) \div (5y - 4)\)
### Divide Polynomials Using Synthetic Division
In the following exercises, use synthetic division to find the quotient and remainder.
316. \(x^3 - 6x^2 + 5x + 14\) is divided by \(x + 1\)
317. \(x^3 - 3x^2 - 4x + 12\) is divided by \(x + 2\)
318. \(2x^3 - 11x^2 + 11x + 12\) is divided by \(x - 3\)
319. \(2x^3 - 11x^2 + 16x - 12\) is divided by \(x - 4\)
320. \(x^4 - 5x^2 + 13x + 3\) is divided by \(x + 3\)
321. \(x^4 + x^2 + 6x - 10\) is divided by \(x + 2\)
322. \(2x^4 - 9x^3 + 5x^2 - 3x - 6\) is divided by \(x - 4\)
323. \(3x^4 - 11x^3 + 2x^2 + 10x + 6\) is divided by \(x - 3\)
---
This content is from an educational resource on polynomial division. It provides practical exercises for students to apply strategies like synthetic division in dividing polynomials.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39f8eda8-4420-4bda-ab27-1b53a7c9ec36%2F39050d7b-7202-474f-9cbb-837feba430d3%2Fp8jgmc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## 5.4 Dividing Polynomials
### Exercises
311. \((2n^3 - 10n + 28) \div (n + 3)\)
312. \((z^3 + 1) \div (z + 1)\)
313. \((m^3 + 1000) \div (m + 10)\)
314. \((64x^3 - 27) \div (4x - 3)\)
315. \((125y^3 - 64) \div (5y - 4)\)
### Divide Polynomials Using Synthetic Division
In the following exercises, use synthetic division to find the quotient and remainder.
316. \(x^3 - 6x^2 + 5x + 14\) is divided by \(x + 1\)
317. \(x^3 - 3x^2 - 4x + 12\) is divided by \(x + 2\)
318. \(2x^3 - 11x^2 + 11x + 12\) is divided by \(x - 3\)
319. \(2x^3 - 11x^2 + 16x - 12\) is divided by \(x - 4\)
320. \(x^4 - 5x^2 + 13x + 3\) is divided by \(x + 3\)
321. \(x^4 + x^2 + 6x - 10\) is divided by \(x + 2\)
322. \(2x^4 - 9x^3 + 5x^2 - 3x - 6\) is divided by \(x - 4\)
323. \(3x^4 - 11x^3 + 2x^2 + 10x + 6\) is divided by \(x - 3\)
---
This content is from an educational resource on polynomial division. It provides practical exercises for students to apply strategies like synthetic division in dividing polynomials.
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