F (x) = x3 - 3x2 + 4 = 0 For the equation given, 2 has a multiplicity of? 1, 2, 3

Multiplicity is how many times

a certain solution to the function.

In this case, we are finding out how many times 2 appears in the function, meaning you’ll have to solve for it when it equals 0. You may use a calculator or use the rational roots method. I will simply derive the answer from the calculator. If you’d like to know about the rational roots method, comment.

x^3 - 3x^2 + 4 = 0 / / Given

0 = (x + 1) (x - 2) (x - 2) / / Calculator skills

0 = (x + 1) (x - 2) ^2 / / Simplify

Therefore, 2 has a multiplicity of 2

3 It's the highest power.