For which value(s) of x will the rational expression below equal zero? check all that apply. (x-3)(x+6)/x+7 a.7 b.-7 c.6 d.-6 e.-3 f.3

D.-6 and F.3

Step-by-step explanation:

The given rational number :

To find : The value of x  , where the  rational expression becomes equal zero.

Let's check all the options :

A. 7

At x= 7  ,

B. -7

At x= 7 ,  

C. 6

At x= 6 ,  

D. -6

At x= -6 ,

E. -3

At x= -3 ,  

F. 3

At x= 3 ,

Thus, at x= -6 and 3 , the rational expression equals to zero .

So , the correct options are : D.-6 and F.3

If we assume you mean (x-3)(x+6)/(x+7), the expression is zero when the numerator factors are zero: at x=3 and x=-6.

Appropriate choices are ...

5050

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