Question

Factories p(x)=x³+6x²+11x+6​

Answer 1

Answer:

$( x + 1)(x + 2)(x + 3)$

Step-by-step explanation:

$x³+6x²+11x+6 \\ \\ = {x}^{3} + {x}^{2} + 5 {x}^{2} + 5x + 6x + 6$

$= {x}^{2} (x + 1) + 5x(x + 1) + 6(x + 1)$

$= (x + 1)( {x}^{2} + 5x + 6) \\ \\ = (x + 1)( {x}^{2} + 2x + 3x + 6)$

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

Hope it helps