Question

The volume of a cuboid is polynomial P(x)=8x³+12x²-2x-3. Find the dimension of cuboid?

Answer 1

=8x³+12x²-2x-3
= 2x(4x²-1) +3(4x²-1)
=(2x+3)(2x+1)(2x-1)
the possible dimensions are :-
(2x+3), (2x+1),(2x-1)
Let , x= 2
the dimensions are (2×2+3),(2×2+1),(2×2-1)
= 7, 5 , 3