Factorise the the given equation. : $2 x^{2} + 3 x + 1 = 0$

Academic Mathematics NCERT Class 10

Given :

The given equation is $2 x^{2} + 3 x + 1 = 0$

To do :

We have to find the factors of the given equation.

Solution :

$2 x^{2} + 3 x + 1 = 0$

$2 x^{2} + 2 x + x + 1 = 0$

$2x(x+1) + 1(x+1) = 0$

$(2x+1)(x+1) =0$

Therefore, the factors of the equation $2 x^{2} + 3 x + 1 = 0$ are $(2x+1) and (x+1)$.

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Updated on: 10-Oct-2022

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