Question

Find the zeros of the function. State the multiplicity of multiple zeros.
y = x(x - 1)^3

Answer 1

one is 0 and the other is 1

Answer 2

Set y = 0
0 = x(x-1)^3
One solution is x = 0
Second, third, fourth solution = 1
Therefore, the x = 0 solution has a multiplicity of one.
The x = 1 solution has a multiplicity of 3 (since there are three roots).