Could you please help me answer this 2. Factorize completely: x² + 3x³- 7x² -27x - 18 and solve for x.

Answered: 2. Factorize completely: x² + 3x³- 7x²…

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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Could you please help me answer this

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

Expert Solution

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 n^th degree polynomial is factorized as

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