Zero of 7 with a multiplicity of 3 means one factor is [tex](x-7)^3[/tex]
Zero of -1 with a multiplicity of 2 means one factor is [tex](x+1)^2[/tex]
Zero of 5 with a multiplicity of 1 means one factor is [tex](x-5)[/tex]
Multiplying, we get
[tex]f(x) = (x-7)^3(x+1)^2(x-5) [/tex]
That's already in factored form so we leave it here.
