Question

Coefficient of x in (x+1)(x+2)(x+3)

Answer 1

coefficient of x= 11

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

$= ( {x}^{2} + 3x + 2)(x + 3)$

$= x( {x}^{2} + 3x + 2) + 3( {x}^{2} + 3x + 2)$

$= {x}^{3} + 3 {x}^{2} + 2x + 3 {x}^{2} + 9x + 6$

${x}^{3} + 6 {x}^{2} + 11x + 6$

coefficient of x is 11