Kalena was asked to prove if x(x – 1)(x + 1) = x³ represents a polynomial identity. She states that this relationship is not true and the work she used to justify her thinking is shown. Step 1: x(x – 1)(x + 1) Step 2: (x² + x)(x – 1) Step 3: x³ – x² – x² – Step 4:

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-Kalena made a mistake in Step 3. The justification should state: ?3−? x 3 − x . Kalena made a mistake in Step 4. The justification should state: ?3+2?2−? x 3 + 2 x 2 − x . Kalena is correct. There are no mistakes in her justification. Kalena made a mistake in Step 2. The justification should state: (2?−?)(?+1)
Kalena was asked to prove if
x(х — 1)(х + 1) %3D х3 — х
= X
represents a polynomial identity. She states
that this relationship is not true and the
work she used to justify her thinking is
shown.
Step 1:
x(х — 1)(х + 1)
Step 2:
(x² + x)(x – 1)
Step 3:
x³ – x² – x² – x
-
Step 4:
x³ – 2x2 – x
- X
Which statement correctly describes
Kalena's justification?
Transcribed Image Text:Kalena was asked to prove if x(х — 1)(х + 1) %3D х3 — х = X represents a polynomial identity. She states that this relationship is not true and the work she used to justify her thinking is shown. Step 1: x(х — 1)(х + 1) Step 2: (x² + x)(x – 1) Step 3: x³ – x² – x² – x - Step 4: x³ – 2x2 – x - X Which statement correctly describes Kalena's justification?
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