Question

factorise : x^4 - 3x-2 ​

Answer 1

x^4 - 3x - 2 = 0

x^4 -3x =2

x ( x^3 -3) =2

x = 2 | x^3 -3 = 2 => x^3 =5

|

$x \: = \sqrt[3]{5}$

Therefore,

$x = 2 \: and \: \sqrt[3]{5}$

Answer 2

Answer:

x^4-3x-2

x^4+x^2-(x^2+3x+2)

x^4+x^2-(x+1)(x+2)

x^4+x^2[x+2-(x+1)]-(x+1)(x+2)

x^4+x^2(x+2)-x^2(x+1)-(x+1)(x+2)

x^2(x^2+x+2)-(x+1)(x^2+x+2)

(x^2+x+2)(x^2-x-1)

hence factorised

Step-by-step explanation: