(x - 1) (x -2) (x - 3) (x + 3) =
[ x^2 - 3x + 2] [ x^2 - 9 ] =
x^4 - 3x^3 + 2x^2
+ - 9x^2 + 27x - 18
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x^4 - 3x^3 - 7x^2 + 27x - 18
4x^3 - 20x^2 + 24x = 0 divide through by 4
x^3 - 5x^2 + 6x = 0 factor
x (x^2 - 5x + 6) = 0
x( (x - 3) (x -2) = 0
The zeroes are 0, 2 , 3
x^3 - 216 = 0 factor as a difference of cubes
(x - 6) (x^2 + 6x + 36)
6 is a root
And using the quadratic formula the other roots will be complex
So we will have
[ -6 ± √ [ 36 - 144] ] / 2
[ -6 ± √ [ - 108] ] / 2
[ -6 ± √ [ - 36 * 3 ] ] / 2
[ -6 ± 6i√ [ 3] ] / 2
-3 + 3i√ 3 and -3 - 3i√ 3
which choices are those? It don't have what you have for each one you solved..?
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