Question

check whether (x-1) is factor of x3-3x2+3x+5​

Answer 1

$Given \: polynomial \:p(x) = x^{3}-3x^{2}+3x+5$

$p(1) = 1^{3} - 3 \times 1^{2} + 3 \times 1 + 5 \\= 1 - 3 + 3 + 5 \\= 1 + 5\\= 6 \neq 0$

/* By factor theorem */

$(x-1) \:is \: not \: a \: factor \: of \\ x^{3}-3x^{2}+3x+5$

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