Given equation (x^2-9)(x+2)=0 ............(1)
By the zero product theorem, when the product of two factors is zero, at least one of the factors equals zero.
Therefore, the solutions of (1) are solutions of
(x^2-9)=0 and (x+2)=0
For (x^2-9)=0 factor (x+3)(x-3)=0 => x=3 or x=-3
For (x+2)=0 => x=-2
So the solution to equation (1) is S={3,-3,-2)
Which means that none of the first four answer options is correct.
