What is a cubic polynomial function in standard form with zeros 5, 2, and -5?

1 Answer
Mar 30, 2016

Answer:

#f(x) = x^3-2x^2-25x+50#

Explanation:

#f(x) = (x-5)(x+5)(x-2)#

#= (x^2-25)(x-2)#

#= x^3-2x^2-25x+50#

Standard form sorts the powers of #x# (or whatever variable you are using) in descending order.

Any polynomial in #x# with these zeros will be a multiple (scalar or polynomial) of this #f(x)#.