MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
Let f(x)=x3−6x2+12x−8.
(i) Factorise f(x) completely.
(ii) State the multiplicity of each root obtained in part (i).
(iii) Verify each root by direct substitution in f(x) and present the verification clearly.