SOLUTION: find all zeros (rational, irrational, and imaginary) exactly for p(x)=2x^4-x^3+2x-1?

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Question 674706: find all zeros (rational, irrational, and imaginary) exactly for p(x)=2x^4-x^3+2x-1?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

 p(x)=2x^4-x^3+2x-1    x = -1  and x = 1/2 are roots

Using synthetic division

-1	2	-1	0	2	-1

		-2	3	-3	1

1/2	2	-3	3	-1	0

		1	-1	1	

	2	-2	2	0

results in

   2x^2 - 2x + 2

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+	

x+=+%282+%2B-+sqrt%28+4-16+%29%29%2F%284%29+

x+=+.5+%2B-+i%2Asqrt%28+3+%29%2F2+

x+=+.5+%2B-+.8660i+