Question

factorise 2 x cube + 9 X square + 10 X + 3

Answer 1

$2 {x}^{3} + 9 {x}^{2} + 10x + 3$
$= 2 {x}^{3} + 2 {x}^{2} + 7 {x}^{2} + 7x + 3x + 3$
$= 2 {x}^{2} (x + 1) + 7x(x + 1) + 3(x + 1)$
$= (x + 1)(2 {x}^{2} + 7x + 3)$
$= (x + 1)(2 {x}^{2} + 6x + x + 3)$
$= (x + 1)(2x(x + 3) + 1(x + 3))$
$= (x + 1)(x + 3)(2x + 1)$