Question

factorize the polynomial
x^3-6x^2+11x-6​

Answer 1

Answer:

(x-1)(x-2)(x-3)

Step-by-step explanation:

x³-6x²+11x-6

let Start solving your question...

put the value of X=1 to check the it is a factor of this polynomial...

(1)³-6(1)²+11×1 -6

1-6+11-6

12-12

0

if X =1 is satisfied this polynomial so,x-1 =0 is factor of this polynomial....

x³_6x²+11x-6

x³-x²-5x²+5x+6x-6

x²(x-1)-5x(x-1)6(x-1)

(x-1){x²-5x+6}

(x-1){x²-3x-2x+6}

(x-1) {x(x-3)-2(x-3)}

(x-1) (x-3)(x-2)

that's all ...

thanku