Let g(x) = (x - 1)5(x + 1)6(x - 2)7. What is the multiplicity of the zero x = 1?

To determine the multiplicity of a zero, we need to determine the highest power of that zero that appears in the factored form of the function.

In the given function, g(x) = (x - 1)5(x + 1)6(x - 2)7, we see that (x - 1) appears raised to the power of 5. Therefore, the multiplicity of x = 1 is 5.