top of page
sun6.png

Finding the zeroes of an equation means finding the x-values for which the function, in this case f(x), is equal to 0.

​

Let us set the function's value to 0 and rewrite the equation.

0 = x³ - x² - x + 1

Finding the divisors for the constant

​

1​

​

Brute Force

​

0 = 1 - 1 - 1 + 1 YEP

​

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)

bottom of page