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Factors of Algebraic Expressions and Factorisation

Resolve the f...

Question

Resolve the following quadratic trinomial into factors:

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

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Solution

Given : $2 x^{2} - 3 x - 2$
On splitting the middle term, we get
$2 x^{2} - 4 x + x - 2$
$= 2 x (x - 2) + 1 (x - 2)$
$= (x - 2) (2 x + 1)$

Hence, $2 x^{2} - 3 x - 2 = (x - 2) (2 x + 1)$

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Factors of Algebraic Expressions and Factorisation

Standard VIII Mathematics

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