# Math Help - factorize

1. ## factorize

Factorize in Q[x] , R[x] and C[X]

4x^6 + 8x^5 - 3x^4 - 19x^3 - 26x^2 - 15x - 3

I couldnt finish it but this is up to where I did:

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

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

3. Hello, kezman!

Factorize in $Q[x],\;R[x]\text{ and }C[X]:\;\;4x^6 + 8x^5 -$ $3x^4 - 19x^3 - 26x^2 - 15x - 3$

I did: $4\left(x+\frac{1}{2}\right)^2 (x^4+x^3-2x^2-3x-3)$ . . . correct!

Galctus did the hard work . . .

In $Q[x]\!:\;\;(2x + 1)^2(x^3 - 3)(x^2+x+1)$

In $R[x]\!:\;\;(2x + 1)^2\left(x - \sqrt{3}\right)\left(x + \sqrt{3}\right)(x^2 + x + 1)$

In $C[x]\!:\;\;(2x + 1)^2\left(x - \sqrt{3}\right)\left(x + \sqrt{3}\right)$ $\left(x + \frac{1 + i\sqrt{3}}{2}\right)\left(x + \frac{1 - i\sqrt{3}}{2}\right)$

4. thanks for the help!