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algebra

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Please help me factor this by grouping. I am stuck.

7x^3-35x^2-6x+30

  • algebra -

    7x^3 - 35x^2 - 6x + 30
    Factor 7x^2 from the first two terms and -6 from the last two terms.

  • algebra -

    Thank you.. SO would it be

    (x-5)(x+5)

  • algebra -

    7x^2(x-5)-6(x-5)...

  • algebra -

    Well, let's try your answer:
    (x-5)(x+5)
    = x^2 - 25. So, that doesn't work.

    Doing the factoring I mentioned previously gives:
    7x^2(x - 5) - 6(x - 5)
    Now there are two terms. The terms have a common factor of (x-5). Using our friendly distributive law we can write:
    (7x^2-6)(x-5)

  • algebra -

    Thank you so so much for your help.

  • algebra -

    Your very welcome!

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