Use the Division Algorithm and synthetic division to express the polynomial function P(x) = 3x - 2x² – 6x – 5 in the form (divisor)(quotient) + remainder for the divisor.

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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**Using the Division Algorithm and Synthetic Division**

Objective: Express the polynomial function in the specified form

Given Polynomial:
\[ P(x) = 3x^3 - 2x^2 - 6x - 5 \]

Task:
Express \( P(x) \) in the form \((\text{divisor})(\text{quotient}) + \text{remainder}\).

Divisor:
\[ x - 4 \]

Procedure:
1. Use the Division Algorithm and synthetic division to evaluate the given polynomial.
2. Fill in your results in the provided box.

This process will aid in understanding polynomial division, which is essential for further studies in algebra and calculus.
Transcribed Image Text:**Using the Division Algorithm and Synthetic Division** Objective: Express the polynomial function in the specified form Given Polynomial: \[ P(x) = 3x^3 - 2x^2 - 6x - 5 \] Task: Express \( P(x) \) in the form \((\text{divisor})(\text{quotient}) + \text{remainder}\). Divisor: \[ x - 4 \] Procedure: 1. Use the Division Algorithm and synthetic division to evaluate the given polynomial. 2. Fill in your results in the provided box. This process will aid in understanding polynomial division, which is essential for further studies in algebra and calculus.
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