SOLUTION: given polynomial G(x)=x^4+2x^3-x^2+4x-6 factor G(x) completely write G(x) as the product of four linear factors with real or complex coefficients.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: given polynomial G(x)=x^4+2x^3-x^2+4x-6 factor G(x) completely write G(x) as the product of four linear factors with real or complex coefficients.       Log On


   

Question 320001: given polynomial G(x)=x^4+2x^3-x^2+4x-6

factor G(x) completely write G(x) as the product of four linear factors with real or complex coefficients.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
grouping ___ (x^4 - x^2 - 6) + (2x^3 + 4x)

factoring ___ (x^2 - 3)(x^2 + 2) + (2x)(x^2 + 2)

rearranging ___ (x^2 + 2x - 3)(x^2 + 2)

factoring ___ (x + 3)(x - 1)(x + i√2)(x - i√2)