Question

i want answer in detail of this question

Answer 1

On Calculations,f(x)=
$\frac{(x - 3)(x + 2)(x + 5)}{(x + 1)(x - 7) } \\ = \frac{(x {}^{2} - x - 6)(x + 5)}{x {}^{2} - 6x - 7 } \\ = \frac{x {}^{3} - x {}^{2} + 5x {}^{2} - 5x - 6x - 30}{x {}^{2} - 6x - 7} \\ = \frac{x {}^{3} + 4x {}^{2} - 11x - 30 }{x {}^{2} - 6x - 7}$
If we take x=100,then f(x)>0(please put f(100)&f(0) It's night I want sleep so I can't do it at this time)
If we take x=0,then f(x)<0



Hope this will help you