Question

If x (x + 1)(x + 2)(x + 3) = 120 then find x = ?

Answer 1

HELLO DEAR,






x(x+1)(x+2)(x+3) = 120
So, x(x+1)(x+2)(x+3) = 2×3×4×5

SO, x=2 IS THE INTEGER ROOT.

ALSO, x(x+1)(x+2)(x+3) = (-2)×(-3)×(-4)×(-5)

HERE, Now,
x = (-5) IS THE INTEGER ROOT

SINCE
THE HIGHEST POWER OF THE VARIABLE x IN THE EXPRESSION IS 4, THE EQUATION MUST HAVE 4 ROOTS. 

I HOPE ITS HELP YOU DEAR,
THANKS