Question

Simplify:-
$x^3+13x^2+32x+20$

Answer 1

$x^3+13x^2+32x+20$

Put $x=-1$

$-1+13-32+20$

$33-33$

$=0$

Hence $(x+1)$ is a factor of the eqn

$x^2+12x+20x+1)\overline{x^3+13x^2+32x+20}{x}^3+x^2\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_12x^2+32x12x^2+12x\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_20x+2020x+20\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_0$

$(x+1)(x^2+12x+20)$

$(x+1)(x^2+10x+2x+20)$

$(x+1)\left(x\right(x+10)+2(x+10\left)\right)$

$(x+1)(x+10)(x+2)$