State why or why not the following theorem could be valid. Use sound mathematical reasoning. Give examples to support your reasoning.

Question

"For any polynomial function, if the sum of the coefficients and constant of f(x) is zero, then one(1) is a root. If the sum of the coefficients and constant of f(-x) is zero then negative one(-1) is a root".

thank you

Answer 1

true, since f(1) is just the sum described.