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Finding the zeroes of an equation means finding the x-values for which the function, in this case f(x), is equal to 0.
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Let us set the function's value to 0 and rewrite the equation.
0 = x³ - x² - x + 1
Finding the divisors for the constant
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1​
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Brute Force
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0 = 1 - 1 - 1 + 1 YEP
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So we can factor out (x - 1)

0 = (1)³ - (1)² - (1) + 1
(x³ - x² - x + 1) / (x - 1)
Ruffini's method
x² - 1 = 0


zeroes are really simple for this one. either 1 or (-1)
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