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Find the Hcf of X^3 - …

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Find the Hcf of X^3 - 3X^2 +2 & X ^2 - 4x + 3 .

Posted by Basant Singh 7 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Susmita Mandal 7 years, 6 months ago

Therefore hcf= (x-1)

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Susmita Mandal 7 years, 6 months ago

X^3 -3X^2 +2 = x^3 - x^2 - 2x^2 +2 = x^2 (x^2 - 1) -2 ( x^2 -1) = (x^2 -2)( x^2-1) = (x^2 - 2) (x+1) (x-1) X^2 -4x +3 = x^2 -x -3x +3 = x(x-1) -3(x-1) = (x-3) (x-1)

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