Factorize- 6x-2 - 5x - 6 - Maths Q-A

Factorize the given polynomial6x^2 5x 60ex0ex=6x^2 9x+4x 60ex0ex=3x(2x 3)+2(2x 3)0ex0ex=(3x+2)(2x 3)Hence the factorized form of polynomial 6x^2 5x 6 is (3x+2)( ...

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Standard X

Mathematics

Division Algorithm for a Polynomial

Factorize: 6x...

Question

Factorize: $6 x^{2} - 5 x - 6$

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Solution

Factorize the given polynomial
$6 x^{2} - 5 x - 6 = 6 x^{2} - 9 x + 4 x - 6 = 3 x (2 x - 3) + 2 (2 x - 3) = (3 x + 2) (2 x - 3)$
Hence the factorized form of polynomial $6 x^{2} - 5 x - 6$ is $(3 x + 2)$ $(2 x - 3)$ .

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Factorize: 6x2-5x-6

Factorize the given polynomial6x2-5x-6=6x2-9x+4x-6=3x(2x-3)+2(2x-3)=(3x+2)(2x-3)Hence the factorized form of polynomial 6x2-5x-6 is 3x+22x-3.

Factorize: $6 x^{2} - 5 x - 6$

Factorize the given polynomial
$6 x^{2} - 5 x - 6 = 6 x^{2} - 9 x + 4 x - 6 = 3 x (2 x - 3) + 2 (2 x - 3) = (3 x + 2) (2 x - 3)$
Hence the factorized form of polynomial $6 x^{2} - 5 x - 6$ is $(3 x + 2)$ $(2 x - 3)$ .