Domain, x-intercepts, y intercepts

Question

Let  P(x)=-2x^4+2x^3+12x^2 When factored, P(x)= -2x^2(x+2)(x-3)

(a).State the domain.

(b) State the x-intercepts:

(c) State the y-intercept:

Answer 1

(a). The function is a polynomial, so that its domain is the real line -∞<x<∞.

(b). f(x)= -2x²(x+2)(x-3) has x- intercepts at x=0, x=-2 and x=3

(c). For x=0 the function  is equal to 0, The y-intercept is y=0.