Final answer:
To find the zeros of the function, we need to set the polynomial equal to zero and solve for x.
Step-by-step explanation:
The given polynomial is f(x) = x³ - 14x² + 61x - 84. One of the factors of this polynomial is (x - 7). To find the zeros of the function, we need to set the polynomial equal to zero and solve for x:
x³ - 14x² + 61x - 84 = 0
Since (x - 7) is a factor, we can use long division or synthetic division to divide the polynomial by (x - 7). By dividing, we get a quadratic equation which can be factored or solved using the quadratic formula to find the remaining zeros.
Let me know if you need any further assistance!