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Use the remainder theorem to verify this statement.
[tex][tex]$(x+5)$[/tex][/tex] is a factor of the function [tex][tex]$f(x)=x^3+3 x^2-25 x-75$[/tex][/tex].
1. Find the [tex][tex]$\square$[/tex][/tex] of [tex][tex]$f(x)$[/tex][/tex] and [tex][tex]$x+5$[/tex][/tex]
2. The [tex][tex]$\square$[/tex][/tex] of this operation is 0 .
3. Therefore, [tex][tex]$(x+5)$[/tex][/tex] is [tex][tex]$\square$[/tex][/tex] of function [tex][tex]$f$[/tex][/tex].
4. So [tex][tex]$f(\square \vee)=0$[/tex][/tex].