Question

factorise : 1) x² - x - 2
-
2) 3x² - 7x + 2

please fast. ​

Answer 1

Answer:

$1. \: \: {x}^{2} - x - 2$

${x}^{2} - (2 - 1)x - 2$

${x}^{2} - 2x + x - 2$

$x(x - 2) + 1(x - 2)$

$(x - 2)(x + 1)$

Ans. (x - 2)(x + 1)

$2. \: \: {3x}^{2} - 7x + 2$

${3x}^{2} - (6 + 1)x + 2$

${3x}^{2} - 6x - x + 2$

$3x(x - 2) - 1(x - 2)$

$(x - 2)(3x - 1)$

Ans . (x - 2)(3x - 1)

Hope it helps.

Answer 2

$1) \: \: = {x}^{2} - x - 2$

$= {x}^{2} - (2 - 1)x - 2$

$= {x}^{2} - 2x + x - 2$

$= x(x - 2) + 1(x - 2)$

$= (x - 2)(x + 1)$

$2) \: \: = 3 {x}^{2} - 7x + 2$

$= 3 {x}^{2} - (6 + 1)x + 2$

$= 3 {x}^{2} - 6x - x + 2$

$= 3x(x - 2) - 1(x - 2)$

$= (3x - 1)(x - 2)$