A polynomial, P(x), has a leading coefficient of 11. Its zeros are at x = a, x = b, and x = c with multiplicities of 1, 3, and 5, respectively. Find an equation for P(x). Write your answer in factored form.
a) P(x) = 11(x - a)(x - b)³(x - c)⁵
b) P(x) = 11(x - a)(x - b)(x - c)³
c) P(x) = 11(x - a)(x - b)⁵(x - c)³
d) P(x) = 11(x - a)⁵(x - b)³(x - c)
