The factor of the function will be (x - 1), (x - 2), and (x + 2). Then the roots of the function will be 1, 2, and negative 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 function is given below.
f(x) = 4x³ - 4x² - 16x + 16
Then the factor of the function will be
f(x) = 4x²(x - 1) - 16(x - 1)
f(x) = 4(x - 1) (x² - 4)
f(x) = 4(x - 1) (x² - 2²)
f(x) = 4(x - 1)(x - 2)(x + 2)
Then the roots of the function will be
x = 1, 2, -2
More about the factorization link is given below.
brainly.com/question/6810544
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