1. A student factored the polynomial expression below. Step 1 12x²+36x +27 Step 2 3(4x² + 12x +9) Step 3 3(2x+3)(2x + 3) Step 4 3(2x+3)² Which two of the following statements are true? A. In Step 2, the student factored out the greatest common factor of 3. B. In Step 3, the student factored the remaining expression into a difference of two squares. C. In Step 4, the student rewrote the expression incorrectly. D. The student factored the expression correctly.
1. A student factored the polynomial expression below. Step 1 12x²+36x +27 Step 2 3(4x² + 12x +9) Step 3 3(2x+3)(2x + 3) Step 4 3(2x+3)² Which two of the following statements are true? A. In Step 2, the student factored out the greatest common factor of 3. B. In Step 3, the student factored the remaining expression into a difference of two squares. C. In Step 4, the student rewrote the expression incorrectly. D. The student factored the expression correctly.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.7: Factoring Special Products
Problem 55PFA
Related questions
Question
A student factored the polynomial expression below.
![1. A student factored the polynomial expression below.
Step 1
12x² + 36x +27
Step 2
3(4x² + 12x + 9)
Step 3
3(2x + 3)(2x + 3)
Step 4
3(2x + 3)²
Which two of the following statements are true?
A. In Step 2, the student factored out the greatest common factor of 3.
B. In Step 3, the student factored the remaining expression into a difference of two squares.
C. In Step 4, the student rewrote the expression incorrectly.
D. The student factored the expression correctly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3a78219-de9b-4f75-975f-a6dcd91b5195%2F022ca00f-fdcd-453f-a6f6-aa676a864179%2Fp0sime_processed.png&w=3840&q=75)
Transcribed Image Text:1. A student factored the polynomial expression below.
Step 1
12x² + 36x +27
Step 2
3(4x² + 12x + 9)
Step 3
3(2x + 3)(2x + 3)
Step 4
3(2x + 3)²
Which two of the following statements are true?
A. In Step 2, the student factored out the greatest common factor of 3.
B. In Step 3, the student factored the remaining expression into a difference of two squares.
C. In Step 4, the student rewrote the expression incorrectly.
D. The student factored the expression correctly.
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