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Answer:
here's the proof
Explanation:
x-1=0
x=1
so
f(x)=x⁴-2x³+x²-x+1
f(1)=1⁴-2.1³+1²-1+1
f(1)1-2+1-1+1
f(1)=2-2
f(1)=0
as we know When f(c)=0 then x−c is a factor of f(x)
hence x-1 is a factor of x⁴-2x³+x²-x+1