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Math Help - Factor the trinomials

  1. #1
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    Factor the trinomials

    Hey guys,

    The task: Factor the trinomials and write each as the product of its factors.

    1.
    x^2 -10x -24

    My answer:
    (x+2)(x-12)

    2.
    x^2 -9x +18

    My answer:
    (x-3)(x-6)

    3.
    x^2 +14x +45

    My answer:
    (x+5)(x+9)

    4.
    x^2 +6x -40

    My answer:
    (x-4)(x+10)

    Do I have the right answers? What is meant by "write each as the product of its factors"???
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Factor the trinomials

    You have done splendidly!

    If a value a has the factors b and c then the product of the factors is just bc. You have written the quadratics as the product of their factors.
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  3. #3
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    Re: Factor the trinomials

    1.
    x^2 -10x -24

    My answer:
    Factor the trinomials = (x+2)(x-12)
    Product of its factors = value of a=-24 has the factors b=+2 and c=-12 then the product of the factors is +2-12 = -10???

    Am I getting this right???
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: Factor the trinomials

    You wish to find 2 factors of -24 whose sum is -10, and the pair you found, 2 and -12, fit the bill. You are doing well.
    Thanks from ford2008
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  5. #5
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    Re: Factor the trinomials

    so, to write my answer correct for this task I should write:
    Factor the trinomial: (x+2)(x-12)
    Write trinomial as the product of its factors: product x^2 -10x -24 = factors (x+2)(x-12)

    Is that right?
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