This is more of a double-check question: The question in the book says "Factor the expression completely. Begin by factoring out the lowest power of each common factor."   x-3/2+2x-1/2+x1/2   I facotred out x-3/2, and got: x-3/2(1+2x+x2). I originally had this as my final answer, but the answer guide says "x-3/2(1+x2). Is this because it says to factor completely? So that the (x2+2x+1) becomes (x+1)(x+1)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.6: Factoring Quadratic Trinomials
Problem 52HP
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This is more of a double-check question:

The question in the book says "Factor the expression completely. Begin by factoring out the lowest power of each common factor."

 

x-3/2+2x-1/2+x1/2

 

I facotred out x-3/2, and got:

x-3/2(1+2x+x2). I originally had this as my final answer, but the answer guide says "x-3/2(1+x2). Is this because it says to factor completely? So that the (x2+2x+1) becomes (x+1)(x+1)?

Expert Solution
Step 1

The given expression is:

-3/2 2x
-1/2
+x
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