factor the trinomial by grouping

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15x^3-9x^2-6x


Can someone please show me how to factor completely.. trying to learn how to do factoring

  • factor the trinomial by grouping -

    Usually factoring by grouping is useful when patterns jump out at you:

    x^3 + 3x^2 - 6x - 18

    you can see x(x^2-6) + 3(x^2-6)

    In your problem, that's not likely, so grouping is not a useful method. Instead, factor out the 3x to get

    3x(5x^2 - 3x - 2)

    Now, if you want to use grouping, you have to play around a bit:

    5x^2-3x-2 = 5x^2-5x + 2x-2
    = 5x(x-1) + 2(x-1)
    = (5x+2)(x-1)

    Again, picking up on how to group is a skill learned through experience. Just buckle down and do a few hundred exercises, and you too will be proficient!

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