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)?

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A: The given expression is:

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A: NOTE: Refresh your page if you can't see any equations. .

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Q: The factorization (5x−15)(x−2)​, is completely factored. True or​ false

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A: They got the first x from the first term. There was an "x" with that term.

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Q: would you mind showing the step-by-step of the factoring?

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.