Question

6. For the given polynomial, find all zeros of the polynomial algebraically. Factor the
polynomial completely.
P(x) = x^5 − 3x^4 + 12x^3 − 28x^2 + 27x − 9

Answer 1

SOLUTION::

The polynomial function  

the polynomial function will be zero when f(x)=0

when x=1 then 1-3+12-28+27-9=0

so is one factor must b ( x-1)

then  

there function will be zero when x-1=0

x=1

AND x2 +9 =0

  

so function will be zeros when  

b) the completly factor of the function is