Use the intermediate Value theorem to determine weather of not the polynomial function has a real zero between the given integers

Question

F(x) = 10x^3 *-3x^2-5x+2 between -1 and 0

Answer 1

F(-1) = -10 + -3 + 5 + 2 = -6

F(0) = 2

so yes, by IVT, there exists a solution where F(k) = 0, -1 < k < 0