Answer:
[tex]x^3-5x^2-2x+24[/tex]
Step-by-step explanation:
the polynomial function of least degree whose only zeros are -2, 3, and 4
Factors are -2,3 and 4
First we write the polynomial in factor form
If 'a' is a zero of the polynomial then (x-a) is a factor
Factors are -2,3 and 4
Polynomial is [tex](x-(-2))(x-3)(x-4)[/tex]
[tex](x+2)(x-3)(x-4)[/tex]
Now we multiply all the parenthesis
[tex](x+2)(x-3)(x-4)[/tex]
[tex](x^2-3x+2x-6)(x-4)[/tex]
[tex](x^2-x-6)(x-4)[/tex]
[tex]x^3-4x^2-x^2+4x-6x+24[/tex]
[tex]x^3-5x^2-2x+24[/tex]
