Question

Factorise: x^4-3x^2+2​

Answer 1

Answer:

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

Step-by-step explanation:

x^4-3x^2+2 = 0

Take x^2 = x

so our equation becomes

x^2 - 3x + 2 = 0

x^2 - 2x - 1x + 2 = 0

x ( x - 2) - 1 ( x - 2) = 0

(x - 1) ( x - 2) = 0

x = 1 , x = 2

taken x^2 as x

Replace

x^2 = 1 , x = -1,1

x^2 = 2 i.e., (x^2 - 2)