The number of the zeroes of the function will be 3. Then the zeroes of the functions are -2, 1, and 2.
<h3>What is a factorization?</h3>
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The equation is given below.
f(x) = x³ - x² - 4x + 4
Then the factor of the equation will be
f(x) = x²(x - 1) - 4(x - 1)
f(x) = (x² - 4)(x - 1)
f(x) = (x² - 2²)(x - 1)
f(x) = (x + 2)(x - 2)(x - 1)
Then the solution to the equation will be
(x + 2)(x - 2)(x - 1) = 0
x = -2, 1, 2
The number of the zeroes of the function will be 3. Then the zeroes of the functions are -2, 1, and 2.
More about the factorization link is given below.
brainly.com/question/6810544
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