Question

# 6. For the given polynomial, find all zeros of the polynomial algebraically. Factor the polynomial completely....

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

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

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