How do you write a polynomial function in standard form with the given zeros: -1, 3, 5?

1 Answer
Mar 6, 2016

Answer:

The simplest such (non-zero) polynomial is:

#f(x) =x^3-7x^2+7x+15#

Explanation:

As a product of linear factors, we can define:

#f(x) = (x+1)(x-3)(x-5)#

#=(x+1)(x^2-8x+15)#

#=x^3-7x^2+7x+15#

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