Question

Factorise the cubic x³-2x²-x+2

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Answer 1

Answer:Factorise x³-2x²-x+2→

x³-2x²-x+2

=> x²(x-2)-1(x-2)

=> (x²-1)(x-2)

(1 can be Expressed as 1²)

=> (x²-1²)(x-2)

(a²-b² = (a+b)(a-b))

=> (x+1)(x-1)(x-2)

The factors of x³-2x²-x+2 are→

(x+1)(x-1)(x-2)

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Step-by-step explanation:

Answer 2

Step-by-step explanation:

F(X)=X^3-2X-X+2

LET X= 1

F(1)=(1)^3-2*1-1+2

     =1+-2-1+2

     =0

USING DIVISION METHOD TO FIND THE FACTORS:

QUOTIENT=X^2+X+2

                  =X^2-2X-X+2

                   =X(X-2)-1(X-2)

                   =(X-1)(X-2)

THE FINAL ANSWER IS=(X-1)(X-2)