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x3-10x2+32x-32=0
finding the roots of polynomial equations

Sagot :

Factor the given polynomial:
(x-2) (x²-8x+16)

Factor further (x² - 8x + 16):
(x-4)²

Final factors of the given polynomial x³ - 10x² + 32x -32 = 0:
(x-4) (x-4) (x-2) = 0

The roots:
x-4 = 0                 x - 2 = 0
x = 4                    x = 2