Question

Simplify the rational expression. State any excluded values.

Answer 1

x-2/x^2+3x-10

Answer 2

is this the question? :
\[\large{\frac{x-2}{x^2+3x-10}}\] ?

Answer 3

yes that is it

Answer 4

Can you factor the denominator?

Answer 5

what do you mean ??

Answer 6

x=-5 or x=2

Answer 7

Right. So that means \(x^2+3x-10=(x+5)(x-2)\). That means your rational expression becomes\[\frac{(x-2)}{(x+5)(x-2)}\]Before we go farther, can you tell me what the excluded values will be?

Answer 8

i dont know :(

Answer 9

The excluded values are the zeroes of the denominator. So you get \(x=-5,2\). Now I'm sure that you can simplify it.

Answer 10

so x=0

Answer 11

You have excluded values when your denominator is 0.

Also, I've got to go now. If you have questions, I'll be back on later tonight, so I can answer your questions then.

Answer 12

so x2

Answer 13

Do you mean \(x^2\)?

Answer 14

no

Answer 15

x=2?

Answer 16

I'm a bit confused. Are you stuck with the simplification or the excluded values?

Answer 17

sorry one secc