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$ax^{3}+bx^{2}+cx+d$ is a polynomial on real $x$ over real coefficients $a,b,c,d$ wherein $a\neq 0$. Which of the following statements is true?

  1.  $d$  can be chosen to ensure that  $x= 0$ is a root for any given set  $a,b,c$
  2.  No choice of coefficients can make all roots identical
  3.  $a,b,c,d$ can be chosen to ensure that all roots are complex
  4.  $c$ alone cannot ensure that all roots are real
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