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anonymous
 5 years ago
find a thirddegree polynomial equation with rational coefficants that has roots 4 and 2+i
please explain
anonymous
 5 years ago
find a thirddegree polynomial equation with rational coefficants that has roots 4 and 2+i please explain

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0it wants you to find a glorified fraction: that is equal to zero when you use those values

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0read rational in the wrong place.... its just a poly

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(a3/b3)x^3 + (a2/b2)x^2 + (a1/b1)x + (a0/b0)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the 2 + i root means that there is a bend in the graph along the x=2 line, but that it is either above or below the graph ....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0f'(2) = 0 would be a part of the equation i think

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0might be wrong tho ...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(x1)^2 + 3 is a quadratic with roots at: 1 + i sqrt(3) ; which means that its bend, its vertex, is along the x=1 line and that it is either above or below it.... so I am assuming that is a good analogy to this

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the cubic formula tho is alot more complicated ..

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(x+4)(x+4)(x  (2+i)) or (x+4)(x  (2+i))(x  (2+i)) seem to be the possibilities; lets try to find the products of these...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(x2i)(x2i) = x^2 2x ix 2x ix +3 + 4i  (x^2 4x 2ix +4i +3) (x+4)  x^3 4x^2 2ix^2 +4ix +3x +4x^2 8ix 16x +16i +12  x^3 2ix^2 4ix 13x +16i +12 kinda gotta wonder abt my technique lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(x+4)^2 = x^2 +8x +16 (x^2 +8x +16) (x2i)  x^3 +8x^2 +16x 2x^2 16x 32 ix^2 8ix 16i  x^3 6x^2 32 ix^2 8ix 16i (x^3 6x^2 32)  i( x^2 +8x +6)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(x^3 13x +12)  2i( x^2 +2x 8)
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