x 2 − 6 is a factor of F ( x ) = x 4 − 2 x 3 − 3 x 2 + 12 − 18

Question

x    2    −  6 is a factor of   F  (  x  )  =      x    4    −  2      x    3    −  3      x    2    +  12  −  18

Ashlynn Cox · Accepted Answer

x    2    −  6 is a factor of   F  (  x  )  =      x    4    −  2      x    3    −  3      x    2    +  12  x  −  18 so just divideby long division and you will get       x    2    −  2  x  +  3 which you can factor use the quadratic equation and get the values   1  ±      2    i  .So the factors are   (      x    2    −  6  )  (  x  −  3  )  (  x  +  1  ) Which can be broken into   (  x  −  1  +      2    )  (  x  −  1  −      2    )  (  x  +      6    )  (  x  −      6    ) If you want rational numbers. There are no real numbers here. Only complex factors and irrational factors.

x^2 -6 is a factor of F(x)=x^4 -2x^3 -3x^2 +12-18

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