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 2 years ago
Determine all of the roots of 4x^34x^211x+6=0 if 2 is known to be one of the roots.
 2 years ago
Determine all of the roots of 4x^34x^211x+6=0 if 2 is known to be one of the roots.

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Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Hint: If 2 is one of the roots, then (x2) must be one of the factors. Use long division or synthetic division to find the other factors

mmbuckaroos
 2 years ago
Best ResponseYou've already chosen the best response.0so I get 4x^2+4x3 with no remainder, do I break that down and take the factoprs and those become the roots?

Hero
 2 years ago
Best ResponseYou've already chosen the best response.14x^2+4x  3 4x^2+6x 2x  3 2x(2x+3)1(2x +3) (2x+3)(2x1) Does that help?

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1So now check by multiplying (x2)(2x+3)(2x1)

mmbuckaroos
 2 years ago
Best ResponseYou've already chosen the best response.0ok so I set each of those equal to 0 to find the roots. Thanks!
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