how do you determine an equation from the zeros
for example
-3/4, 2/5
-4+2(square root)3
-4-2(square root)3
To find a polynomial equation whose zeros are r1, r2, r3, r4, form the
following equation, multiply it out and simplify it.
(x - r1)(x - r2)(x - r3)(x - r4) = 0
_ _
For r1=-3/4, r2=2/3, r3=-4+2Ö3, r4=-4-2Ö3)
Such an equation would be:
_ _
(x + 3/4)(x - 2/5)[x - (-4+2Ö3)][x - (-4-2Ö3)] = 0
Multiply that out -- a very big job -- then you'll get
x4 + (167/20)x3 + (13/2)x2 - x - 6/5 = 0
Clearing of fractions
20x4 + 167x3 + 130x2 - 20x - 24 = 0
Edwin
AnlytcPhil@aol.com
