Question

using factor method divide x^2+3x+2 ÷ x+1

Answer 1

$<h2><font color = red > hey there$



$<font color = black > here we go......$



Factorising the polynomial :-

$x {}^{2} + 3x + 2 \\ \\ x {}^{2} + x + 2x + 2$


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


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


so,


$\frac{(x + 2)(x + 1)}{(x + 1)}$


=

$(x + 2)$



Hope it helps you

Thanks for asking....



@ Prabhudutt

Answer 2

Answer :-

First,

=> $\bold{x^2\: +\: 3x\: +\: 2}$
=> $\bold{x^2\: +\: 2x\: +\: 1x\: +\: 2}$
=> $\bold{x\: (x\: +\: 2)\: +\: 1\: (x\: +\: 2)}$
=> $\bold{(x\: +\: 1)\: (x\: +\: 2)}$

Now,

=> $\bold{(x\: +\: 1)\: ( x\: +\: 2)/ (x\: +\: 1)}$
=> $\bold{(x\: +\: 2)}$

So the answer is (x + 2)