Given:
The zeros are -2, 5 and 8.
To find:
The factored form of the polynomial function.
Step-by-step explanation:
Since -2, 5 and 8 are the zeros for the function.
So, the factors will be,
![(x+2),(x-5),(x-8)](https://img.qammunity.org/2023/formulas/mathematics/college/9t0iou2942xanev2u6hej43wkm55ichl39.png)
Therefore, the factored form of the polynomial function must be,
![f(x)=(x+2)(x-5)(x-8)](https://img.qammunity.org/2023/formulas/mathematics/college/scup8wjwsl1ub6f573wzb8o73ri1s09jkm.png)
Final answer:
The factored form of the polynomial function is,
![f(x)=(x+2)(x-5)(x-8)](https://img.qammunity.org/2023/formulas/mathematics/college/scup8wjwsl1ub6f573wzb8o73ri1s09jkm.png)