Factorize the following expressions:
$3 x^{3} - 5 x^{2} + 6 x$

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Solution

Factorize : $3 x^{3} - 5 x^{2} + 6 x .$
We can take $x$ common,
$x (3 x^{2} - 5 x + 6)$
Further $3 x^{2} - 5 x + 6$ can't be factorize, as discriminant $= b^{2} - 4 a c$
$= (- 5)^{2} - 4 (3) (6)$
$= 25 - 72$
$= - 47 < 0$
Hence, the final answer is $x (3 x^{2} - 5 x + 6)$ .

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Factorize the following expressions:3x3−5x2+6x

Factorize : 3x3−5x2+6x.We can take x common, x(3x2−5x+6)Further 3x2−5x+6 can't be factorize, as discriminant =b2−4ac=(−5)2−4(3)(6)=25−72=−47<0Hence, the final answer is x(3x2−5x+6).

Factorize the following expressions:
$3 x^{3} - 5 x^{2} + 6 x$

Factorize : $3 x^{3} - 5 x^{2} + 6 x .$
We can take $x$ common,
$x (3 x^{2} - 5 x + 6)$
Further $3 x^{2} - 5 x + 6$ can't be factorize, as discriminant $= b^{2} - 4 a c$
$= (- 5)^{2} - 4 (3) (6)$
$= 25 - 72$
$= - 47 < 0$
Hence, the final answer is $x (3 x^{2} - 5 x + 6)$ .