## algebra2sucks 2 years ago What is the quotient in simplest form? State any restrictions on the variable. x+2/ x-1 divided by x + 4/x^2 + 4x - 5

1. Azteck

$\frac{ x+2}{ x-1 }\div \frac{ x+4 }{ x^2+4x-5 }=\frac{ x+2 }{ x-1 }\div \frac{ x+4 }{ (x+5)(x-1) }$ $=\frac{ x+2 }{ x-1 }\times \frac{(x+5)(x-1) }{x+4 }$ Simplify it now.

2. algebra2sucks

(x+2)(x+5)/x+4 ?

3. algebra2sucks

what are the restrictions?

4. algebra2sucks

you there @Azteck

5. Azteck

What can't x equal to?

6. Azteck

What number do you prevent x to be so that the denominator of the fraction does not become undefined?

7. Azteck

$\dfrac{(x+2)(x+5)}{x+4}$ What can't x be???

8. Azteck

@algebra2sucks

9. algebra2sucks

1,-4,-5?

10. Azteck

Dude, if x=1, will there be a value coming out from that fraction there?

11. Azteck

I'm not so sure, but I reckon they're asking you for restrictions after you simplify the quotient.

12. Azteck

Because questions don't ask for you to do something in the beginning at the end of the question. They rather put the question and command you to do stuff in chronological order...

13. algebra2sucks

Ooooh ok so its just -5, and -4??

14. algebra2sucks

Is that right @Azteck

15. Azteck

Why -5?

16. Azteck

Put -5 into that fraction. What do you get? Do you undefined? If you don't get undefined, then -5 ain't restricting noone.

17. algebra2sucks

Well these are the answers I have A. (x+2)(x+5)/x+4; x = -5, -4 B. (x+2)(x+4)/(x+4)^2(x+5); x = 1, -5 C. (x+2)(x+4)/(x+4)^2(x+5); x = 1, -5,-4 D. (x+2)(x+5)/x+4; x = 1, -4, -5

18. Azteck

Then you have to find the restrictions in the quotient. So you were correct before. D is the answer. These questions are dodgy, if they didn't give you multiple choice. Next time write the WHOLE QUESTION down before you post...