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Factorisation of Trinomials by Splitting Middle Term

Resolve the f...

Question

Resolve the following quadratic trinomial into factors:
$7 x - 6 - 2 x^{2}$

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Solution

Given: $7 x - 6 - 2 x^{2}$
$= - 2 x^{2} + 7 x - 6$
On splitting the middle term, we get

$= - 2 x^{2} + 4 x + 3 x - 6$
$= - 2 x (x - 2) + 3 (x - 2)$
$= (x - 2) (- 2 x + 3)$
$= - (x - 2) (2 x - 3)$
$= (2 - x) (2 x - 3)$

Hence, $7 x - 6 - 2 x^{2} = (2 - x) (2 x - 3)$

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Factorisation of Trinomials by Splitting Middle Term

Standard X Mathematics

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