anonymous
  • anonymous
Determine all of the roots of 4x^3-4x^2-11x+6=0 if 2 is known to be one of the roots.
Mathematics
chestercat
  • chestercat
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Hero
  • Hero
Hint: If 2 is one of the roots, then (x-2) must be one of the factors. Use long division or synthetic division to find the other factors
anonymous
  • anonymous
ok thanks
anonymous
  • anonymous
so I get 4x^2+4x-3 with no remainder, do I break that down and take the factoprs and those become the roots?

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Hero
  • Hero
4x^2+4x - 3 4x^2+6x -2x - 3 2x(2x+3)-1(2x +3) (2x+3)(2x-1) Does that help?
Hero
  • Hero
So now check by multiplying (x-2)(2x+3)(2x-1)
anonymous
  • anonymous
ok so I set each of those equal to 0 to find the roots. Thanks!

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