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Math Help - Factorization

  1. #1
    Junior Member
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    Factorization

    Factor the following equations:
    a) 9x^3 + 35x^2 - 4x
    b) 6x^2 + 5x - 4
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  2. #2
    Senior Member MacstersUndead's Avatar
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    I'll do #1, you try #2 on your own. These, by the way, are not equations. (there is no = or right hand side) These are expressions.

    Quote Originally Posted by soni
    1) 9x^3 + 35x^2 - 4x
    To "factor" is to take the greatest common element among each of the terms and then divide it out from the expression.

    Now, each of these terms all have an x in common, so let's pull that out first. (in general, factor out the highest possible degree of x first)
    9x^3 + 35x^2 - 4x
    x (9x^2 + 35x - 4)

    What is left in the brackets? We can no longer pull another x out since the last term has no x's left. This is a quadratic. Use the quadratic formula to factor.
    it into (9x-1)(x+4). (solutions if plugged into the quadratic equation are 1/9 and -4, the "zeroes" of the quadratic if it were an equation set to = 0)

    so the remaining expression is x(9x-1)(x+4)
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