The polynomial function is
and Hint :
is a one factor of f.
Rewrite the expression in long division form
.
The zero is included for missing term x in the divisor.
\
By the division algorithm theorem, the result of the division is
.
The factoriziation of f(x) is
.
Consider the quadratic factor
and solve by using quadratic formula.





The complete factoriziation of f(x) is
.
The complete factoriziation of f(x) is
.