For the polynomial h(x)=x3−3x2−4x+12, which option correctly states the y-intercept and all x-intercepts of its graph?
(a) y-intercept (0,−12); x-intercepts (3,0),(−2,0),(2,0)
(b) y-intercept (0,12); x-intercepts (3,0),(2,0)
(c) y-intercept (0,12); x-intercepts (3,0),(−2,0),(2,0)
(d) y-intercept (0,12); x-intercepts (−3,0),(2,0),(−2,0)