Question

Find the ECM of the polynomial 12(x4-x3) and (x4-3x3+2x2).
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Answer 1

Answer:

12(x4 - x3) = 2(2)(3)x3(x - 1)

 

x4 - 3x3 + 2x2 = x2(x2 - 3x + 2) = x2(x - 2)(x - 1)

 

2(2)(3)x3(x - 2)(x - 1) = 12x3(x2 - 3x + 2) = 12x5 - 36x4 + 24x3