2. Factorize completely: x² + 3x³- 7x² -27x - 18 and solve for x.

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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2. Factorize completely: x² + 3x³- 7x² -27x - 18 and solve for x.
Transcribed Image Text:2. Factorize completely: x² + 3x³- 7x² -27x - 18 and solve for x.
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Step 1: information

To factorize a polynomial, regrouping is an effective method.

we also use the formula a squared minus b squared equals left parenthesis a plus b right parenthesis left parenthesis a minus b right parenthesis.

If an  nth  degree polynomial is factorized as 

 left parenthesis x minus a subscript 1 right parenthesis left parenthesis x minus a subscript 2 right parenthesis... left parenthesis x minus a subscript n right parenthesis
T h e n space t h e space r o o t s space o r space z e r o s space o f space t h e space p o l y n o m i a l space a r e space a subscript 1 comma a subscript 2... a subscript n

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