SOLUTION: p(x)=2x^3-5x^2+6x-2; 1+i
use the given zero to find the remaining zeros of each polynomial function....
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Question 310540: p(x)=2x^3-5x^2+6x-2; 1+i
use the given zero to find the remaining zeros of each polynomial function....
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If is a zero, it's complex conjugate is also a zero.
So then the quadratic formed from those two roots is
Using polynomial long division, divide the original polynomial by this quadratic,
.
.
.
The first part of the factor is
subtracted from the original polynomial leaves a remainder of,
.
.
The second part of the factor is
which subtracted from the remainder leaves 0.
So then,
.
.
.
which is the third root, which you can see by graphing the function.
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