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Algebra 2

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thanks for the help earlier I got one more question

X^4-13X^2+36
How do I factor this using algebra not just gussing and checking this times this and what number plus what number gives you these numbers

how do i factor that wihtout playing one of those games were you like guess and check your like taught in nineth grade thanks

  • Algebra 2 - ,

    part of the "game" that I play is to realize that both brackets have to start with x^2 to have x^4 at the front and x^2's in the middle, so ...
    (x^2 - ...)(x^2 - ...)

    looking at the +36 at the end, I know my 2 numbers must both have the same sign, since I see a negative in the middle, they must be negative.
    Now what two factors of 36 have a sum of 13
    Gee, my game tells me it must be 9 and 4
    so
    (x^2 - 9)(x^2 - 4)
    at this point you have to recognize the difference of square for both of those.
    final result:
    (x+3)(x-3)x+2)x-2)

    thanks for playing.

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