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Polynomial Inequalities

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  • (x+1)(x-1)^2 >=0
    [-4,inf)
  • Find the intervals where f(x)<0
    (-inf,-1)U(0,2)U(2,inf)
  • Find the intervals where f(x)<=0
    (-inf,-2]U[0]U[1,inf)
  • Find the intervals where f(x)>=0
    (-inf,0]U[1]
  • 3(x^2 - 9)(5-x) < 0
    (-inf,-3)U(3,5)U(5,inf)
  • - 4x^3 (x+3)(x-1)^2 < 0
    (-3,0)
  • (x-1)^2 (x+3) (x+1) > =0
    (-inf,-3] U [-1] U [1,inf)
  • 2(x-1)(x+3)(3-x) < 0
    (-2,1) U (3,inf)
  • Find the intervals where f(x)>=0
    [-1,0]U[2]
  • 2x^3 - x^2 - 18x + 9 > 0
    (-3,1/2) U (3,inf)
  • Find the intervals where f(x)>0
    (-3,-1)U(-1,1)