Question

simplify the rational expression state any excluded values x^2-x-6/x+2

Answer 1

Factor the trinomial and it becomes another easy one :)

Answer 2

Help

Answer 3

I really dont get it. Its my nephews algebra. I have no idea what to do.

Answer 4

x^2-x-6

To factor trinomials (this is worth remembering), find 2 numbers that equal -1 when added and -6 when being multiplied

Answer 5

Still confused

Answer 6

Quadratics are set up as

ax^2+bx+c

as long as the value of a is one, you can say that the answer or roots for a quadratic.

Is 2 numbers that add up to the value of b, and multiply to the value of c.

x^2-x-6

Think. What two numbers add up to -1 but multiply to -6 (together)

Answer 7

Still cant get it. Im sorry im just dumb.

Answer 8

Don't say that.

Example:

x^2+4x+4

I have to find two numbers that add up to 4, but multiply to 4 as well.

That is simply 2,2 as the numbers (2,2) add up to 4 and multiply to 4.

Answer 9

Try one more time

Answer 10

You can do it

Answer 11

Im not understanding what your saying.

Answer 12

Wait... -2?

Answer 13

If I asked you for two numbers that add up to 10, but multiply to 25, could you do it?

Answer 14

5?

Answer 15

Exactly, 5 and 5.

Answer 16

x^2-x-6

What two numbers add up to -1 but multiply to -6 (together)

Same logic, don't make it hard

Answer 17

-3

Answer 18

That's one of the numbers, what's the other one?

Answer 19

3

Answer 20

two numbers add up to -1 but multiply to -6

3+(-3)=0

3 x -3=-9

that wouldn't work..

Answer 21

Wait.... no -2

Answer 22

Let's see

-3,-2

-3+-2=-5
-3 x -2=6

There is a small error with -2

Answer 23

So just 2

Answer 24

Yes!!

-3,2 are the factors of x^-x-6

Which can be expressed as (x-3)(x+2)

Answer 25

Now onto your question..\[\frac{ (x-3)(x+2) }{ (x+2) }\]

Answer 26

What terms can you cross out?

Answer 27

X+2

Answer 28

Exactly so your just left with x-3, the simplified rational expression of your question

Answer 29

That took a while but I hope you have a better hint on quadratic factoring now. It's vital in algebra :O

Answer 30

So the answer is just x-3

Answer 31

yep