SOLUTION: Find an equation that has x = i, -i, -4 and 1 as solutions.

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Question 959031: Find an equation that has x = i, -i, -4 and 1 as solutions.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
to find an equation that has x%5B1%5D+=+i, x%5B2%5D+=-i,x%5B3%5D+=+-4 and x%5B4%5D+=1 as solutions use zero product formula:
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29
f%28x%29=%28x-i%29%28x-%28-i%29%29%28x-%28-4%29%29%28x-1%29
f%28x%29=%28x-i%29%28x%2Bi%29%28x%2B4%29%28x-1%29
f%28x%29=%28x%5E2-i%5E2%29%28x%2B4%29%28x-1%29
f%28x%29=%28x%5E2-%28-1%29%29%28x%5E2-x%2B4x-4%29
f%28x%29=%28x%5E2%2B1%29%28x%5E2%2B3x-4%29
f%28x%29=x%5E2%2Ax%5E2%2B3x%2Ax%5E2-4%2Ax%5E2%2Bx%5E2%2B3x-4
f%28x%29=x%5E4%2B3x%5E3-4x%5E2%2Bx%5E2%2B3x-4
f%28x%29=x%5E4%2B3x%5E3-3x%5E2%2B3x-4


+graph%28600%2C+600%2C+-10%2C+10%2C+-50%2C+10%2C+x%5E4%2B3x%5E3-3x%5E2%2B3x-4%29+