Question

A polynomial function has a zero at x=3 which of the follwing expressions must be one factor of the polynomial. A. x + 3 b. 3x C. x^3 D. x - 3 but could you explain how to do it so i can do it on my own!

Answer 1

if \(r\) is a "root" i.e. a zero of a polynomial, then one factor must be \(x-r\)

Answer 2

in your case \(r=3\) so one factor must be \(x-3\)

Answer 3

Thank you! How can I write this as an explanation as I have to show work?