factoring 3x^4 - 4x^3 + 7x^2 + 10x - 4

[ca.chick]

how do i factor out this problem:

3x^4 - 4x^3 + 7x^2 + 10x - 4

i factored it out to this point:

(x + 1)(3x^3 0 7x^2 + 14x - 4)

no im lost i tried the rational zero test but nothing work so im really confused

 

[wjm11]

how do i factor out this problem:

3x^4 - 4x^3 + 7x^2 + 10x -4

i factored it out to this point:

(x+1)(3x^3 0 7x^2 + 14x -4)

Consider 3x^3 - 7x^2 + 14x - 4. Factors of the leading coefficient 3 are q = 1,3. Factors of the constant 4 are p = 1,2,4.
P/q = +/- 1, 2, 4, 1/3, 2/3, 4/3.
Try x = 1/3 (i.e. (x – 1/3) is a factor). This can also be of the form (3x – 1).


Hope this helps.