Question

factorise x to the power 3 minus 6 x to the power 2 + 11 x minus 6​

Answer 1

Step-by-step explanation:

p(X)=X³-6X²+11X-6

let us put X=>1

so

p(X=1)=1³-6(1)²+11(1)-6

=>0

so X-1 is a factor of given p(X)

so for other factors we will divide p(X) by X-1 and obtain quotient

the quotient by dividing the quotient is

X²+5X-6

so to factorise X²-5X+6

X²-3X-2X+6

=>(X-2)(X-3)

So the factors are

(X-1)(X-2)(X-3)

HOPE IT HELPS DEAR :D