Answer:
[tex]\boxed{p(x)=x(x+2)(x+5)}[/tex]
Step-by-step explanation:
The given polynomial function has x-intercepts at
[tex]x=0[/tex]
[tex]x=-2[/tex]
[tex]x=-5[/tex]
The above are all zeros of the polynomial function, whose graph is shown.
According to the Factor Theorem, [tex]x[/tex] ,[tex](x+2)[/tex] and [tex]x+5[/tex] are factors of the polynomial.
The fully factored form is
[tex]p(x)=x(x+2)(x+5)[/tex]
