Write a polynomial \( f(x) \) that meets the given conditions. Answers may vary. Degree 3 polynomial with zeros 1,5 , and -4 . \( f(x)=\square \)

To create a polynomial \( f(x) \) of degree 3 with the specified zeros 1, 5, and -4, you can express it in factored form as follows: \[ f(x) = k(x - 1)(x - 5)(x + 4) \] Here, \( k \) is a constant that can be any non-zero value. If we choose \( k = 1 \), the polynomial simplifies to: \[ f(x) = (x - 1)(x - 5)(x + 4) \] Now, expanding this would give: \[ f(x) = (x - 1)(x^2 - x - 20) = x^3 - 22x + 20 \] So a polynomial that meets those conditions could be written as: \[ f(x) = x^3 - 22x + 20 \] This captures all the required details in a fun and straightforward way!