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19 December, 05:13

Two students, Jennifer and Jamal, factored the trinomial 6x2 - 3x - 9. Jamal factored it as 3 (2x - 3) (x + 1) and Jennifer factored it as (2x - 3) (3x + 3). Indicate which student factored the trinomial completely and which student did not, and explain why.

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  1. 19 December, 05:14
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    To factor this:

    1st: take out GCF

    3 (2x^2 - x - 3)

    2nd: do AC method by starting with what 2 numbers equal - 6 [ac] and add up to be - 1 [b]

    Two numbers: - 3, 2

    3rd: split b into these two numbers

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

    4th: group the first two and last two terms and take out their GCF's

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

    5th: finish up

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

    Jamal factored it completely because he took out the GCF in the first step while Jennifer did not.
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