SOLUTION: 1) Find all zeros of the polynomial x^4+2x^3+x^2-2x-2. 2) find the zeros of 2x^3-4x^2-5x+1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1) Find all zeros of the polynomial x^4+2x^3+x^2-2x-2. 2) find the zeros of 2x^3-4x^2-5x+1      Log On


   

Question 1114747: 1) Find all zeros of the polynomial x^4+2x^3+x^2-2x-2.
2) find the zeros of 2x^3-4x^2-5x+1
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4%2B2x%5E3%2Bx%5E2-2x-2

Using synthetic division for roots 1 and -1, find quotient x%5E2%2B2x%2B2 which has roots -1%2B-+i.

The zeros are system%28-1%2C1%2C-1-i%2C-1%2Bi%29.