Question

Factorize P(x)=x3-6x2+11x-6​

Answer 1

Answer:

∴The factors are (x-2)(x-1)(x-3).

Step-By-Step Explaination:

p(x)=x³-6x²+11x-6

p(2)=(2)³-6(2)²+11*2-6

      =8-6*4+11*2-6

      =8-24+22-6

      =2-2

      =0

∴(x-2) is a factor.

     x²-4x+3

x-2)x³-6x²+11x-6

      x³-2x²

   ------------------

           -4x²+11x

           -4x²+8x

------------------------------

                     3x-6

                     3x-6

-----------------------------------------

                           0

∴  x²-4x+3 is a factor.

    x²-4x+3

P=3

S=-4

Numbers= -3,-1

x²-3x-x+3

x(x-3)-1(x-3)

=(x-1)(x-3)

∴The factors are (x-2)(x-1)(x-3).