Factories : $2 x^{3} - 11 x^{2} + 17 x - 6$

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Solution

Applying heat and trial method in $2 x^{3} - 11 x^{2} + 17 x - 6$ .

$(x - 2) (2 x^{2} - 7 x + 3)$

$= (x - 2) (2 x^{2} - 6 x - x + 3)$

$= (x - 2) (2 x (x - 3) - 1 (x - 3))$

$= (x - 2) (2 x - 1) (x - 3)$

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2, 3

\frac{1}{2}

p (x) = 2 x^{3} - 11 x^{2} + 17 x - 6

11 x^{2} + 17 x + 6

2 x^{3} + 11 x^{2} - 7 x - 6

f (x) = 2 x^{3} + 11 x^{2} - 7 x - 6

(x - 1)

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