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27 December, 09:48

When factored completely, the expression 3x2 - 9x + 6 is equivalent to

(1) (3x - 3) (x - 2) (3) 3 (x + 1) (x - 2)

(2) (3x + 3) (x - 2) (4) 3 (x - 1) (x - 2)

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Answers (2)
  1. 27 December, 10:52
    0
    3x² - 9x + 6

    3 (x²) - 3 (3x) + 3 (2)

    3 (x² - 3x + 2)

    3 (x² - 2x - x + 2)

    3 (x (x) - x (2) - 1 (x) + 1 (2))

    3 (x (x - 2) - 1 (x - 2))

    3 (x - 1) (x - 2)

    The equation 3x² - 9x + 6 is equivalent to 3 (x - 1) (x - 2).
  2. 27 December, 12:22
    0
    Let's see what the options look like when we multiply the expressions in brackets:

    (first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:

    (1) (3x - 3) (x - 2))

    3x2 + 6x - 3x + 6 / / this is not correct

    (2) (3x + 3) (x - 2)

    3x2-6x+3x-6//this is not correct

    (3)

    3 (x + 1) (x - 2)

    3 (x2-2x+x-2) / / simplifying:

    3 (x2-x-2) / / multiplying:

    3x2-3x-6)

    - so this is not correct either

    (4) 3 (x - 1) (x - 2)

    3 (x2-2x - x + 2)

    3 (x2-3x + 2)

    3x2-9x + 6 - well, here is our winner!
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