A polynomial function with a degree of 6 has the zeros of 𝑥 = 2 (order 2), 𝑥 = −1 (order 1) and 𝑥 = 5

Question

A polynomial function with a degree of 6 has the zeros of 𝑥 = 2 (order 2), 𝑥 = −1 (order 1) and 𝑥 = 5
(order 3). Write a general formula for a family of functions that share the same properties as this function.

Please HELP!

Scott · Answer

f(x) = (x + a) (x + b)² (x + c)³