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:
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
