If the one factor of the function is (x - 4). Then the other two factor of the function will be (2x + 1) and (x + 1).
What is a factorization?
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.
(x - 4) is the factor of the function.
f(x) = 2x³ - 5x² - 11x - 4
Then the factor of the function will be
f(x) = 2x³ - 5x² - 11x - 4
f(x) = 2x³ + x² - 6x² - 3x - 8x - 4
f(x) = x²(2x + 1) - 3x (2x + 1) - 4(2x + 1)
f(x) = (2x + 1)(x² - 3x - 4)
f(x) = (2x + 1)(x² - 4x + x - 4)
f(x) = (2x + 1)[x(x - 4) + 1 (x - 4)]
f(x) = (2x + 1)(x + 1)(x - 4)
More about the factorization link is given below.
https://brainly.com/question/6810544
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