Final answer:
To write the equation in intercept (factored) form, use the given roots and their multiplicities to write the equation as y = a(x-0)(x-4)(x+4), where 'a' is a constant.
Step-by-step explanation:
To write the equation in intercept (factored) form, we need to use the given roots and their multiplicities. The given roots are 0, 4, and -4, with multiplicities 2, 1, and 1 respectively.
Using these roots and their multiplicities, the equation can be written as follows:
y = a(x-0)(x-4)(x+4)
where 'a' is a constant.