Factorise 2x-2 - 3x - 1 - 0 - Maths Q-A

FactorizationThe given equation is,. 2x^2 + 3x + 1 = 0⇒ 2x^2+2x+x+1=0⇒ 2x(x+1)+1(x+1)=0⇒ (2x+1)(x+1)=0Hence, the result of factorization of the given equati ...

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Standard VIII

Mathematics

Factorisation of Trinomial

Factorise 2x^...

Question

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

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Solution

Factorization
The given equation is,
. $2 x^{2} + 3 x + 1 = 0$
$\Rightarrow 2 x^{2} + 2 x + x + 1 = 0$
$\Rightarrow 2 x (x + 1) + 1 (x + 1) = 0$
$\Rightarrow (2 x + 1) (x + 1) = 0$
Hence, the result of factorization of the given equation is $(2 x + 1) (x + 1) = 0$ .

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Q. Factorise:

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Factorise: 2x2+3x+1=0

FactorizationThe given equation is,. 2x2+3x+1=0⇒2x2+2x+x+1=0⇒2x(x+1)+1(x+1)=0⇒(2x+1)(x+1)=0Hence, the result of factorization of the given equation is (2x+1)(x+1)=0.

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

Factorization
The given equation is,
. $2 x^{2} + 3 x + 1 = 0$
$\Rightarrow 2 x^{2} + 2 x + x + 1 = 0$
$\Rightarrow 2 x (x + 1) + 1 (x + 1) = 0$
$\Rightarrow (2 x + 1) (x + 1) = 0$
Hence, the result of factorization of the given equation is $(2 x + 1) (x + 1) = 0$ .