Determine whether (x-1) is a factor of x⁴-x³+x²-1
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) x³ + x² + x + 1 Let x + 1 is a factor of given polynomial. Now, x + 1 = 0 x = -1 p(-1) = (-1)³ + (-1)² + (-1) + 1 = -1 + 1 - 1 + 1 = 2 - 2 = 0 Therefore, It is confirmed that x + 1 is a factor of x³ + x² + x + 1. (ii) x⁴ + x³ + x² + x + 1 Let x + 1 is a factor of given polynomial
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x-1=0
then x=1
when we substitute x=1 in x^4-x^3+x^2-1 then
we get 0
so x-1 is factor of the given polynomial
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