Question

Check whether x_3is factor of x3 _27

Answer 1

Step-by-step explanation:

yes this is a factor.....

by remainder theory....

put the value of x as 3 u will get 0

so this is a factor of x³-27

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Answer 2

Correct Question

$\sf{ Check \: whether\: (x-3) \: is\: factor \:of\: \ x^{3}-27}$

Used Formula

★$\bf\boxed{ \ a^{3}- \ b^{3}\:=\:(a-b)( \ a^{2} + \ b^{2} +ab)}$

Answer:-

$\tt{ \ x^{3}-27}$

$\tt{ \ (x)^{3} - (3)^{3}}$

$\tt{ \ (x-3)( \ x^{2} + 3^{2} + 3x)}$

$\tt{ \ (x-3)( \ x^{2} + 9 + 3x)}$

➥ Hence Proved

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$\huge\bf{Thanks }$