Question

Hello! Just want to check my answers and make sure they’re correct and if there’s anything I need to add. Thanks!PART A

Answer 1

`f(x)=x^(3)-4x^(2)+5x-2`

Step-by-step explanation:

Given that f(x) is a function with a zero of multiplicity of 1 at 2 and a zero of multiplicity of 2 at 1, we can go ahead and express f(x) in expanded form using Factor Theorem as seen below;

`\begin{gathered} f(x)=(x-2)(x-1)(x-1) \\ f(x)=(x-2)(x^2-x-x+2) \\ f(x)=(x-2)(x^2-2x+1) \\ f(x)=x^3-2x^2+x-2x^2+4x-2 \\ f(x)=x^3-4x^2+5x-2 \end{gathered}`