Question

Check whether x+2 is a factor of x3 – 3x2 + 3x -1

step by step plz​

Answer 1

Answer:

$x + 2 = 0$

$x = - 2$

Putting the value of x in the equation :

${x}^{3} - {3x}^{2} + 3x - 1$

${( - 2)}^{3} - 3 {( - 2)}^{2} + 3( - 2) - 1$

$- 8 - 12 - 6 - 1$

$- 20 - 6 - 1$

$- 26 - 1$

$- 27$

As the result is not coming zero so, x + 2 is not a factor of x^3 - 3x^2 + 3x -1

Ans. No, x + 2 is not a factor.

Hope it helps.

Answer 2

$\huge\tt{\fcolorbox{aqua}{lime}{Aᑎɴsᴡʳ}}$

$Given:$

$Given\: equation\: =\:{x}^{3}\:-\:{3x}^{2}\:+\:3x\:-\:1$

we have to check x + 2 is the factor of above given equation .

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$x \:+\:2$

$x \:=\:-\:2$

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$⇒\:{x}^{3}\:-\:{3x}^{2}\:+\:3x\:-\:1$

$⇒\:{(-\:2)}^{3}\:-\:{3\:(-\:2)}^{2}\:+\:3\:(-\:2)\:-\:1$

$⇒\:-\:16\:-\:3\:(4)\:+\:-\:6\:-\:1$

$⇒\:-\:16\:-\:12\:-\:6\:-\:1$

$⇒\:-\:28\:-\:6\:-\:1$

$⇒\:-\:35$

$\large\tt{\boxed{hence \:x\: +\: 2 \:is\: not \:the\: factor\:of \:above \:given \:equation}}$