Question

Factor the polyomial completely using any method
-4w^8-8w^6+4w^4+8w^2
Medal given for answer

Answer 1

-4w^2(w^6 + 2w^4 - 2w^2 - 2)

let x = w^2

and solve as before ... need to leave for a while

Answer 2

Thanks Medal given

Answer 3

b back in 1 hr

Answer 4

http://www.wolframalpha.com/

type

factor -4w^8-8w^6+4w^4+8w^2

Answer 5

-4w^8-8w^6+4w^4+8w^2
-4w^2(w^6 + 2w^4 - w^2 - 2)

let x = w^2

Substitute

-4x(x^3 + 2x^2 - x - 2)
-4x( x^2(x + 2) - (x + 2) )
-4x( (x^2 - 1) (x + 2) )
-4x ( (x + 1)(x - 1)(x + 2) )

Substitute back

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

Ans. -4w^2( (w^2 + 1)(w + 1)(w - 1)(w^2 + 2) )