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Factors of Algebraic Expressions

Resolve the f...

Question

Resolve the following quadratic trinomial into factors:
$11 x^{2} - 54 x + 63$

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Solution

Given: $11 x^{2} - 54 x + 63$
On splitting the middle term, we get
$11 x^{2} - 33 x - 21 x + 63$
$= 11 x (x - 3) - 21 (x - 3)$
$= (11 x - 21) (x - 3)$

Hence, $11 x^{2} - 54 x + 63 = (11 x - 21) (x - 3)$

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Factors of Algebraic Expressions

Standard VIII Mathematics

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