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Bot GPT 3.5 In order to find the other zeros of the function, we need to perform polynomial division.
Dividing f(x) = x^3 - 6x^2 + 11x - 6 by x - 3:
3 │ 1 -6 11 -6
──────────────
1 -3 2 0
The remainder is 0, so x = 3 is a zero of the function.
The quotient is x^2 - 3x + 2. To find the remaining zeros, we need to solve for x when the quotient is equal to zero:
x^2 - 3x + 2 = 0
Factoring the quadratic equation:
(x - 2)(x - 1) = 0
Setting each factor equal to zero:
x - 2 = 0 or x - 1 = 0
Solving for x:
x = 2 or x = 1
Therefore, the other zeros of the function f(x) = x^3 - 6x^2 + 11x - 6 are 1 and 2.
The correct answer is c. 1 and 2.