Write a third or fourth degree polynomial function that has zeros at +/- 7/5

Question

Write a third or fourth degree polynomial function that has zeros at +/- 7/5

Answer 1

How about

 

f(x) = (5x - 7)²(5x + 7)²

 

f(x) = (5x - 7)(5x - 7)(5x + 7)(5x + 7)

 

 

4th degree polynomial

 

 

You have two roots that have multiplicity of 2.

Answer 2

f(x) = (5x + 7)(5x - 7)(x)(x)