Factorize- 3x-2 - x - 4 - Maths Q-A

Factorise the polynomial3x^2 x 40ex0ex=3x^2 4x+3x 40ex0ex=x(3x 4)+1(3x 4)0ex0ex=(x+1)(3x 4)Hence, the factors of the polynomial 3x^2 x 4 are (x+1) and (3x 4). ...

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Standard IX

Mathematics

Algebraic Identities

Factorize: 3x...

Question

Factorize: $3 x^{2} - x - 4$ .

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Solution

Factorise the polynomial
$3 x^{2} - x - 4 = 3 x^{2} - 4 x + 3 x - 4 = x (3 x - 4) + 1 (3 x - 4) = (x + 1) (3 x - 4)$
Hence, the factors of the polynomial $3 x^{2} - x - 4$ are $(x + 1)$ and $(3 x - 4)$ .

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Q. The factors of 3x² -x-4 are (x+1)(3x-4) .

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Factorize: 3x2-x-4.

Factorise the polynomial3x2-x-4=3x2-4x+3x-4=x(3x-4)+1(3x-4)=(x+1)(3x-4)Hence, the factors of the polynomial 3x2-x-4 are (x+1) and (3x-4).

Factorize: $3 x^{2} - x - 4$ .

Factorise the polynomial
$3 x^{2} - x - 4 = 3 x^{2} - 4 x + 3 x - 4 = x (3 x - 4) + 1 (3 x - 4) = (x + 1) (3 x - 4)$
Hence, the factors of the polynomial $3 x^{2} - x - 4$ are $(x + 1)$ and $(3 x - 4)$ .