The polynomial p(x) is given: p(x)=x^3+2x^2-5x-6, express p(x) as the product of three linear factors

p(x)=x³+2x²-5x-6

      =x(x²+2x-5)-6

      =x(x²+2x+1-6)-6 as we know (x+1)²=x²+2x+1,5 can be expressed 1-6

      =x[(x+1)²-6]-6

      =x(x+1)²-6x-6

      =x(x+1)²-6(x+1)

      =(x+1)[x(x+1)-6]

      =(x+1)(x²+x-6) here, -6 can be expressed as -2*3, and -2+3=1 

      =(x+1)(x+3)(x-2)