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18 February, 07:44

Factor this trinomial completely. - 12x^2+45x+12

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Answers (2)
  1. 18 February, 10:27
    0
    Step-by-step Answer:

    Step 1:

    Extract factor (s) common to all terms.

    In this case, the HCF is 3, so the expression is written

    -12x^2+45x+12 = - 3 (4x^2-15x-4)

    The negative sign was also exrracted to give a positive leading coefficient, which is easier to work with.

    Step 2, group the coefficient in such a way that there is a common factor.

    Leaving the factor - 4 for the moment, and concentrate on the coefficients in parentheses, write the original expression as

    4x^2 - 15x - 4

    = 4x^2 - 16x

    + x - 4

    = 4x * (x-4) + 1 * (x-4)

    extract (x-4) as a common factor

    = (x-4) (4x+1)

    Step 3:

    Combine all the factors to get

    -3 (x-4) (4x+1)

    =3 (4-x) (4x+1)

    as the complete factoring of the given expression.
  2. 18 February, 10:42
    0
    Answer: - 12x^2 + 45x + 12

    -3 (4x^2 - 15x - 4)

    -3 (4x + 1) (x - 4)

    Step-by-step explanation:

    D.
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