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Math Help - factorize help

  1. #1
    Super Member
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    factorize help

    hey i need help factorizing this equation. I was told to first guess and find an answer for x then work from there but i cant seem to find any values of x that can make it equal 0.

     <br />
10x^3-15x^2-4x+6<br />

     <br />
10x^3-15x^2-4x+6=0<br />
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  2. #2
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    Hello jvignacio:

    Rather than instruct you to guess, it would have been better for them to tell you about the Rational Roots Theorem.

    Are you familiar with it?

    If a polynomial has integer coefficients, then any rational roots must be of the form x = p/q where p is a factor of the constant term and q is a factor of the leading coefficient.

    The constant term is 6; its factors are 1, -1, 2, -2, 3, -3, 6, and -6. (These are the possible candidates for p.)

    The leading coefficient is 10; its factors are 1, -1, 2, -2, 5, -5, 10, and -10. (These are the possible candidates for q.)

    Now, it's just a matter of testing the possibilities until you find one that works.

    Have fun. Let us know if you need more help finding rational roots using this theorem. (Hint: there is only one rational root for the polynomial that you posted.)

    Cheers,

    ~ Mark
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  3. #3
    Super Member
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    Santiago
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    Quote Originally Posted by mmm4444bot View Post
    Hello jvignacio:

    Rather than instruct you to guess, it would have been better for them to tell you about the Rational Roots Theorem.

    Are you familiar with it?

    If a polynomial has integer coefficients, then any rational roots must be of the form x = p/q where p is a factor of the constant term and q is a factor of the leading coefficient.

    The constant term is 6; its factors are 1, -1, 2, -2, 3, -3, 6, and -6. (These are the possible candidates for p.)

    The leading coefficient is 10; its factors are 1, -1, 2, -2, 5, -5, 10, and -10. (These are the possible candidates for q.)

    Now, it's just a matter of testing the possibilities until you find one that works.

    Have fun. Let us know if you need more help finding rational roots using this theorem. (Hint: there is only one rational root for the polynomial that you posted.)

    Cheers,

    ~ Mark
    thanks for that mark. i will give it a shot and post it back! much appreciated
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