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Factors of Algebraic Expressions and Factorisation

Resolve the f...

Question

Resolve the following quadratic trinomial into factors:
$2 x^{2} + 5 x + 3$

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Solution

Given : $2 x^{2} + 5 x + 3$
On splitting the middle term, we get
$2 x^{2} + 2 x + 3 x + 3$
$= 2 x (x + 1) + 3 (x + 1)$
$= (2 x + 3) (x + 1)$

Hence, $2 x^{2} + 5 x + 3 = (2 x + 3) (x + 1)$

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Factors of Algebraic Expressions and Factorisation

Standard VIII Mathematics

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