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
Jim G.
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]}

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