Factor the polynomial 3x2 + 4x – 2xy – y² + 1. |

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) Factor the polynomial 3x2 + 4x – 2xy – y² + 1.
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Answer: (2x + 1+ x + y)(2x +1- x – y)
Solution:
3x? + 4x – 2xy – y² +1 = 3x² – 4x² + 4x² + 4x – 2xy – y² + 1
-
4x2 + 4x + 1 – (x² + 2xy + y')
= (2x + 1)² – (x + y)?
= (2x +1+ x + y)(2x +1 – x – y)
||
Note: Difference of Two Squares
a² – b² = (a + b)(a – b)
|
Transcribed Image Text:2) Factor the polynomial 3x2 + 4x – 2xy – y² + 1. - Answer: (2x + 1+ x + y)(2x +1- x – y) Solution: 3x? + 4x – 2xy – y² +1 = 3x² – 4x² + 4x² + 4x – 2xy – y² + 1 - 4x2 + 4x + 1 – (x² + 2xy + y') = (2x + 1)² – (x + y)? = (2x +1+ x + y)(2x +1 – x – y) || Note: Difference of Two Squares a² – b² = (a + b)(a – b) |
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