Question

check whether x=-1 is zero of the polynomial p(x)=x³-4x²+4x-1
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Answer 1

Answer:

$p(x) = x {}^{3} - 4x {}^{2} + 4x - 1 \\ p( - 1) = - 1 {}^{3} - 4( - 1) {}^{2} + 4( - 1) - 1 \\ = - 1 {}^{3} - 4 - 5 \\ - 1 - 4 - 5 \\ - 10 \\ since \: p( - 1) \: is \: not \: equal \: to \: zero \\ therefore \: p( - 1) \: is \: not \: zero \: of \: the \: polynomial \\ p(x) = x {}^{3} - 4x {}^{2} + 4x - 1$