Question Which of the following sets contains all the roots of a polynomial F(x)=2x^3+x^2-3x A- {0,1 3/2} B- {-3/2, 1} C- {-3/2, 0,1} D- { -1, -3/2}

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 given by: 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, this means that the other two roots are: 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 #SPJ1 Reply

rootsof the polynomial is given by:C.{-3/2, 0,1}## What are the roots of a polynomial F(x)?

F(x) = 0.polynomialis given by:correct optionis:C.{-3/2, 0,1}roots of a polynomialat https://brainly.com/question/2833285