Answers

1. The set that contains all the roots of the polynomial is given by:

   C. {-3/2, 0,1}

   What are the roots of a polynomial F(x)?

   They are the values of x for which F(x) = 0.

   In this problem, the polynomial is:

   F(x) = 2x³ + x² – 3x.

   Hence:

   2x³ + x² – 3x = 0.

   2x(x² + 0.5x – 1.5) = 0.

   2x = 0 -> x = 0.

   x² + 0.5x – 1.5 = 0 -> (x + 1.5)(x – 1) = 0.

   Then:

   • x + 1.5 = 0 -> x = -1.5.

   • x – 1 = 0 -> x = 1.

   Hence the correct option is:

   C. {-3/2, 0,1}

   More can be learned about the roots of a polynomial at https://brainly.com/question/2833285

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