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)