x² + x - 12 Given a rational expression x +4 a. specify at which value(s) of will the expression be undefined? b. select all the equivalent rational expressions of it. 2x² + 2x 24 2x + 8 x²y + xy xy + 4y (x+4) (x-3) x +4 3 (x − 4) (x + 3) x +4 X - 12y where y 0 I

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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1.)

1. Given a rational expression \(\frac{x^2 + x - 12}{x + 4}\),

   a. Specify at which value(s) of \(x\) the expression will be undefined.

   b. Select all the equivalent rational expressions of it.

   - \(\frac{2x^2 + 2x - 24}{2x + 8}\)

   - \(\frac{x^2y + xy - 12y}{xy + 4y}\) where \(y \neq 0\)

   - \(\frac{(x + 4)(x - 3)}{x + 4}\)

   - \(x - 3\)

   - \(\frac{(x - 4)(x + 3)}{x + 4}\)
Transcribed Image Text:1. Given a rational expression \(\frac{x^2 + x - 12}{x + 4}\), a. Specify at which value(s) of \(x\) the expression will be undefined. b. Select all the equivalent rational expressions of it. - \(\frac{2x^2 + 2x - 24}{2x + 8}\) - \(\frac{x^2y + xy - 12y}{xy + 4y}\) where \(y \neq 0\) - \(\frac{(x + 4)(x - 3)}{x + 4}\) - \(x - 3\) - \(\frac{(x - 4)(x + 3)}{x + 4}\)
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