Question

Factories x³+6x²+11x+6

Answer 1

Hello friend

here is your answer ,

note that :
________

(x + 2 ) ^3 = x^3 + 6x^2 + 12x + 8

so we find :
_________

x^3 + 6x^2 + 11x + 6

or, x^3 + 3 × x^2 × 2 + 3× x × 2^3 - x - 2

or, (x + 2)^3 - (x+2)

or, t^3 - t [ (x + 2)= t ]

or, t( t^2 - 1 )

or, t( t +1)( t- 1 )

or, (x + 2)( x+ 3)( x + 1 )

in sensible order :
______________

x^3 + 6x^2 + 11x + 6

= ( x+1)( x+2 ) ( x+3 )

hope it helps

please mark as brainlist........