verify if x-1 is a factor of x^4+x^3-2x^2+x+1
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Step-by-step explanation:
Let we consider the polynomial is f(x)
So,
f(x) =
Now we have (x+1)
Now we consider (x+1) is a factor of polynomial and x = -1
Using factor theorem [f(x) = 1]
The factor theorem say if
f(x) = 0
Then the (x+1) is a factor of polynomial f(x) but here it's equal to
From this statement is not a factor of polynomial
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