Question

factorize 2x³+9x²+10x+3..plzz tell​

Answer 1

Answer:

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

Step-by-step explanation:

Given Problem:

2x³+9x²+10x+3

Solution:

$\sf =>2x^3 + 6x^2 + 3x^2 + 9x + x + 3\\\ =>2x^2 ( x + 3 ) + 3x ( x + 3 ) + 1 ( x + 3 )\\\ => ( x + 3 ) ( 2x^2 + 3x + 1 )\\\ =>( x + 3 ) ( 2x^2 + 2x + x + 1 )\\\ => ( x + 3 ) [ 2x ( x + 1 ) + 1 ( x + 1 ) ]\\\ => ( x + 3 ) ( x + 1 ) ( 2x + 1 )\\ Hence,\\The\; factorized\; form\; is=> ( x + 3 ) ( x + 1 ) ( 2x + 1 )$