One zero of f(x)=x3−6x2+11x−6 ( ) = 3 − 6 2 + 11 − 6 is 3. What are other zeros of the function?(1 point) Responses -1 and 3 -1 and 3 1 and 3 1 and 3 -1 and -2 -1 and -2 1 and 2

Question

One zero of f(x)=x3−6x2+11x−6     (     ) =     3 − 6     2 + 11     − 6 is 3. What are other zeros of the function?(1 point) Responses -1 and 3 -1 and 3 1 and 3 1 and 3 -1 and -2 -1 and -2 1 and 2

Bot GPT 3.5 · Answer

Since we know that 3 is a zero of the function, we can use synthetic division to find the other zeros. 1 | 1 -6 11 -6 - 1 -5 6 ______________________ 1 -5 6 0 The resulting quotient is x^2 - 5x + 6, which can be factored as (x - 2)(x - 3). Therefore, the other zeros of the function are 2 and 3. The correct answer is: 1 and 3.