When factoring how do you know which order to place the numbers in the parenthesis?

factoring
b_crazy_101 asked:


For example, if you are factoring: 2x^2 - x - 6 how do you know if it should be (2x+3)(x-2) or if it the last two numbers should be reversed like (2x-2)(x+3)? Also, how do you know which numbers are positive and which negative, what are the rules of the signs?

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3 Responses to “When factoring how do you know which order to place the numbers in the parenthesis?”

  1. Dee W says:

    (2x + 3)(x - 2) multiply 2(-2) and 3(1), -4, 3,
    add and you get -1..this is correct because you want -1x as your middle
    term.

  2. pelirrojo2007 says:

    There’s a very quick way, let’s try an expanded binomial square:
    x^2 - 5x + 6
    First make the two binomials –> x^2- 5x + 6 = (x ) (x )
    with the srqt of first term

    The signs are like this always:
    -) In the first binomial goes the same sign that the second term
    so (x - ) (x )
    -) In the second binomial goes the multiplication of second and third term signs, that means - * + = -

    Finally you get –> (x - ) (x - )
    Remember to put first the bigger number in absolute value, of course.

    Good Luck!!!

    P.D: you’ll get (x - 3)(x - 2) at the end

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