Factorise 6x-2-17x-5 - Maths Q-A

Factorise the polynomial6x^2+17x+50ex0ex=6x^2+15x+2x+50ex0ex=3x(2x+5)+1(2x+5)0ex0ex=(3x+1)(2x+5)Hence, the factors of 6x^2+17x+5 are (3x+1)and (2x+5). ...

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Standard VIII

Mathematics

Factorisation Using Algebraic Identities

Factorise 6x^...

Question

Factorise: $6 x^{2} + 17 x + 5$ .

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Solution

Factorise the polynomial
$6 x^{2} + 17 x + 5 = 6 x^{2} + 15 x + 2 x + 5 = 3 x (2 x + 5) + 1 (2 x + 5) = (3 x + 1) (2 x + 5)$
Hence, the factors of $6 x^{2} + 17 x + 5$ are $(3 x + 1)$ and $(2 x + 5)$ .

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Factorise: 6x2+17x+5.

Factorise the polynomial6x2+17x+5=6x2+15x+2x+5=3x(2x+5)+1(2x+5)=(3x+1)(2x+5)Hence, the factors of 6x2+17x+5 are (3x+1)and (2x+5).

Factorise: $6 x^{2} + 17 x + 5$ .

Factorise the polynomial
$6 x^{2} + 17 x + 5 = 6 x^{2} + 15 x + 2 x + 5 = 3 x (2 x + 5) + 1 (2 x + 5) = (3 x + 1) (2 x + 5)$
Hence, the factors of $6 x^{2} + 17 x + 5$ are $(3 x + 1)$ and $(2 x + 5)$ .