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    hearthrobrob's Avatar
    hearthrobrob Posts: 1, Reputation: 1
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    #1

    Mar 31, 2009, 04:52 PM
    Factoring trinomials
    2b squared, plus 10b plus 12
    :confused: :eek:
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Mar 31, 2009, 11:42 PM

    general solution



    so in your case (from observation) you have to solve the simultaneous equations:

    ac=2
    ad+bc=10
    bd=12

    (in your case, x is b)
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #3

    Apr 1, 2009, 09:31 AM
    Why not just write 2b^2+10b+12. Wouldn't that be easier to read?

    Factor out a 2:



    Now, factor what's inside the parentheses.

    What two numbers when multiplied equals 6 and when added equals 5?

    How about 2 and 3. 2*3=6 and 2+3=5.



    Now, group and factor out something common from each group.

    Cap gave a very nice general approach for any quad. Use that and you'll be OK for whatever they throw at you.
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