what is the solution set to the next polynomial

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zooba

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what is the solution set to the next polynomial

x4 + 2x3 + 3x2 = 0
 
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i think the solution to the second part contains a complex number

i think the solution to the second part contains a complex number which is:

x = +i(2)1/2 - 1 And x = -i(2)1/2 - 1


is that correct.
 
zooba said:
i think the solution to the second part contains a complex number which is:

x = +i(2)1/2 - 1 And x = -i(2)1/2 - 1


is that correct.
Click to expand...

Looks good..

But you could have checked it yourself by multiplying it out:

(x + 1 + i√2)(x + 1 - i√2) = (x+1)2 + (√2)2 = x2 + 2x + 1 + 2 = x2 + 2x + 3 ...... checks
 
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