Question

facotrize the following​

Answer 1

Answer:

(i) The polynomial is

(x²–x)² -8(x²-x)+12

y=(x²-x)

Then the polynomial becomes

y²-8y+12

=y²-6y-2y+12

y(y-6) -2(y-6)

=(y-2) (y-6)

=(x²-x-2) (x²-x-6)

Now both the factors can be further factorized

(x²-2x+x-2) (x²-3x+2x-6)

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

=( x+1) (x-2) (x+2) (x-3) is the correct answer

Hope you understood!