The polynomial P(x)\displaystyle {P}{\left({x}\right)}  of degree 4 has

  • a root of multiplicity 2 at x = 4
  • a root of multiplicity 1 at x = 0 and at x = -4
  • It goes through the point (5,36)

Find a formula for P(x)\displaystyle {P}{\left({x}\right)}.

P(x)=\displaystyle {P}{\left({x}\right)}=  

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