Khalil was asked to determine whether (+2)(x2 – 2x +4) = x* + 8z represents a polynomial identity. He states that this relationship is not true and the justification he used is below. Step 1: (x + 2)(2² - 2x + 4) Step 2: (- 2z? + 4x)(x + 2) Step 3: -2a + 8x2 - 2x3+822 +8x Step 4: 4x3 +16x2 + 8x Which statement correctly describes Khalil's justification Statement A Khalil is correct. There are no mistakes in his justification. Khalil made a mistake in step 2. The justification should be Statement B (22 +2z)(2- 2x +4). Statement C Khalil made a mistake in step 3. The justification should be z + 8x. Statement D Khalil made a mistake in step 4. The justification should be +4x +16x2 + 8x O Statement B O Statement D O Statement C O Statement A

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Khalil was asked to determine whether (+2)(x² – 2x +4) = x* + 8z represents a polynomial
identity. He states that this relationship is not true and the justification he used is below.
Step 1: 2(x + 2)(2² - 2x + 4)
Step 2: (- 2a? + 4x)(x + 2)
Step 3: -2a + 8x2 - 2x3+ 822+8x
Step 4: 4
4x3 +16x2 + 8x
Which statement correctly describes Khalil's justification
Statement A
Khalil is correct. There are no mistakes in his justification.
Khalil made a mistake in step 2. The justification should be
Statement B
(22 + 2x)(2- 2x + 4).
Statement C
Khalil made a mistake in step 3. The justification should be x + 8x.
Statement D
Khalil made a mistake in step 4. The justification should be +4x +16x2 + 8x
O Statement B
O Statement D
O Statement C
O Statement A
Transcribed Image Text:Khalil was asked to determine whether (+2)(x² – 2x +4) = x* + 8z represents a polynomial identity. He states that this relationship is not true and the justification he used is below. Step 1: 2(x + 2)(2² - 2x + 4) Step 2: (- 2a? + 4x)(x + 2) Step 3: -2a + 8x2 - 2x3+ 822+8x Step 4: 4 4x3 +16x2 + 8x Which statement correctly describes Khalil's justification Statement A Khalil is correct. There are no mistakes in his justification. Khalil made a mistake in step 2. The justification should be Statement B (22 + 2x)(2- 2x + 4). Statement C Khalil made a mistake in step 3. The justification should be x + 8x. Statement D Khalil made a mistake in step 4. The justification should be +4x +16x2 + 8x O Statement B O Statement D O Statement C O Statement A
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