Factorise 3x-2 - 11x - 4 - 0- - Maths Q - A

FactorizationThe given equation is,. 3x^2 + 11x 4 = 0⇒ 3x^2 x+12x 4=0⇒ x(3x 1)+4(3x 1)=0⇒ (3x 1)(x+4)=0Hence, the result of the factorization of the given ...

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Standard VIII

Mathematics

Factorisation of Trinomial

Factorise 3x^...

Question

Factorise: $3 x^{2} + 11 x - 4 = 0$

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Solution

Factorization
The given equation is,
. $3 x^{2} + 11 x - 4 = 0$
$\Rightarrow 3 x^{2} - x + 12 x - 4 = 0$
$\Rightarrow x (3 x - 1) + 4 (3 x - 1) = 0$
$\Rightarrow (3 x - 1) (x + 4) = 0$
Hence, the result of the factorization of the given equation is $(3 x - 1) (x + 4) = 0$ .

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Factorise: 3x2+11x-4=0

FactorizationThe given equation is,. 3x2+11x-4=0⇒3x2-x+12x-4=0⇒x(3x-1)+4(3x-1)=0⇒(3x-1)(x+4)=0Hence, the result of the factorization of the given equation is (3x-1)(x+4)=0.

Factorise: $3 x^{2} + 11 x - 4 = 0$

Factorization
The given equation is,
. $3 x^{2} + 11 x - 4 = 0$
$\Rightarrow 3 x^{2} - x + 12 x - 4 = 0$
$\Rightarrow x (3 x - 1) + 4 (3 x - 1) = 0$
$\Rightarrow (3 x - 1) (x + 4) = 0$
Hence, the result of the factorization of the given equation is $(3 x - 1) (x + 4) = 0$ .