Question

Find rational roots of the polynomial f(x)=2x^3+x^2-7x-6

Answer 1

2 x^3 + 2 x^2 - x^2 - x - 6x -6
2x^2( x +1) -x( x + 1) -6(x+1)

(x+1)( 2 x^2 -4x + 3x -6)
(x+1)( 2x( x-2) +3(x-2))
(x+1)( 2x+3)(x-2)