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Factors of Algebraic Expressions and Factorisation

Resolve the f...

Question

Resolve the following quadratic trinomial into factors:
$3 x^{2} + 10 x + 3$

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Solution

Given: $3 x^{2} + 10 x + 3$
On splitting the middle term, we get
$3 x^{2} + 9 x + x + 3$
$= 3 x (x + 3) + 1 (x + 3)$
$= (3 x + 1) (x + 3)$

Hence, $3 x^{2} + 10 x + 3 = (3 x + 1) (x + 3)$

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Factors of Algebraic Expressions and Factorisation

Standard VIII Mathematics

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