Answer: -4, 4 ...... 3 ....... 4 ...... crosses ..... touches
Step-by-step explanation:
f(x) = -4(x - 4)(x² - 16)³
0 = -4(x - 4)(x² - 16)³
0 = -4 0 = x - 4 0 = (x² - 16)³
not valid x = 4 0 = [(x - 4)(x + 4)]³
0 = (x - 4)(x + 4)(x - 4)(x + 4)(x - 4)(x + 4)
x = 4, x = -4, x = 4, x = -4, x = 4, x = -4
Zeroes: x = -4 multiplicity of 3 and x = 4 multiplicity of 4
odd multiplicity crosses, even multiplicity touches
