8. Banyak akar bulat persmaan polinomial 4x^4 + 8×^3 - 3×^2 -7×-2 =0 adalah

Diketahui :
4x^4 + 8×^3 - 3×^2 -7×-2 =0
   x - 1 = 0 
  x + 2 = 0 
2x + 1 = 0

Penyelesaian :
=> (4x^4 + 8׳ - 3ײ - 7× - 2)/(x-1)
=> (x-1)(4x³ + 12ײ - 9× -2)
=> (x-1)(x+2)(2×+1)(2×+1)
=> (x-1)(x+2)(2×+1)²

=> (4x³ + 12ײ - 9× -2)/(x+2)
=> (x+2)(4x² + 4× + 1)
=> (x+2)(2x+1)(2+1)

=> (4x² + 4× + 1)
=> (4x² + 2×)+(2x+1)
=> 2x(2x+1)+(2x+1)
=> (2x+1)(2x+1)

Jadi :
4x^4 + 8׳ - 3ײ - 7× - 2) = 0
            (x-1)(x+2)(2x+1)² = 0

   x-1 = 0 ===> x = 1
  x+2 = 0 ===> x = -2
2x+1 = 0 ===> x = -1/2