Given  f(x)=2(x+2)4(x4)5(x2)3(x+5)\displaystyle {f{{\left({x}\right)}}}=-{2}{\left({x}+{2}\right)}^{{4}}{\left({x}-{4}\right)}^{{5}}{\left({x}-{2}\right)}^{{3}}{\left({x}+{5}\right)} 

Define the behavior of the following zeroes of f(x)

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  1. crossing
  2. touching