Question

please solve this fully I mark you be a brainlist ok.​

Answer 1

Step-by-step explanation:

Given Equation is 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 + 2x + 3x + 6)

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

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

Hope it helps!

Answer 2

Step-by-step explanation:

Note that:

   (x+2)3=x3+6x2+12x+8

So we find:

   x3+6x2+11x+6=(x+2)3−(x+2)

   x3+6x2+11x+6=t3−t

   x3+6x2+11x+6=t(t2−1)

   x3+6x2+11x+6=t(t−1)(t+1)

   x3+6x2+11x+6=(x+2)(x+1)(x+3)