Write a polynomial function of least degree with integral coefficients that has the given zeros ? -2 mult. 3

I don't understand what the mult. means.

1 Answer
Jul 9, 2018

p(x)=x^3+6x^2+12x+8

Explanation:

"since "x=-2" is a zero, then"

(x+2)" is a factor of the polynomial"

"given "x=-2" of mult. 3 then"

(x+2)(x+2)(x+2)" are the factors of the polynomial"

p(x)=(x+2)^3

color(white)(xxx)=x^3+6x^2+12x+8
graph{x^3+6x^2+12x+8 [-10, 10, -5, 5]}