Question

problem attached

Answer 1

@GoldPhenoix help

Answer 2

@ssilvestro

Answer 3

\[\large \large \frac{ x^2-3x-28 }{ x^2-9x+14 }\] What is x^2 divided by x^2?

Answer 4

0

Answer 5

no its x^2

Answer 6

Nope. You got it the first time. x^2 divided by x^2 cancel out.
Now what is -3x divided by -9x?

Answer 7

Opps. My bad.

Answer 8

oooooo ok -0.33

Answer 9

I looked at the answer choices, and I knew I was doing the wrong way.
So you want to factor the numerator and the denominator.

You know how to factor, x^2 - 3x - 28

Answer 10

no

Answer 11

Alright. You can only factor a trinomial with 2 binomial.
So, what 2 number can add up to -3, but also multiply to -28?

Answer 12

2 and 14

Answer 13

2 and 14 multiply to -28, and add up to -3?

Answer 14

1 and 2

Answer 15

1 and 2 add up to -3 and multiply to -28?
Here's a tip:
One number must be positive, and one number must be negative.

Answer 16

1 and -2

Answer 17

Here's a good tip.
List the factor of -28 please.

Answer 18

2 and -14

Answer 19

Continue. List ALL of the factor of -28 please. :)

Answer 20

26+2
20 and 8
15 and 13

Answer 21

Wait wait. I'm asking the factor of -28.
Just the factor of -28.
List all the factor of -28.

Answer 22

(1,2,14,28)

Answer 23

You're missing 2 numbers.

Answer 24

4 and 6

Answer 25

Eh. You got partial right. It's 4 and 7. :)
So now you have factors:
1, 28
2, 14
4, 7

Now which one add up to -3? Also, remember, one number must be negative, while the other number is positive.

Answer 26

i think -7 and 4

Answer 27

Yep. Correct. -7 and 4 add up to -3 and multiply to -28.

Answer 28

Now our 2 binomial should look like:

(x-7)(x+4)
How did I get the x from? Well how can we factor x^2 by? With 2 x. :)
Does it make sense so far?

Answer 29

Now how can we factor x^2-9x+14 ?

Answer 30

yes

Answer 31

So do the same like we did before?
What 2 number add up to -9, and multiply to 14?

Well the easiest way to do it is to list the factor of 14.
What's the factor of 14?

Answer 32

1,2,7,14 and 3 and -3

Answer 33

So the factor of 14 is
1,14
2, 7

Which one add up to -9?

Answer 34

-2 and -7

Answer 35

Alright. So what is x^2-9x+14 in factored form?

Answer 36

idk

Answer 37

Well look at the other one factor to.
Just guess what the factored form would be.
I'll check if it's right or wrong.

Answer 38

i really dont know its starting to confuse me

Answer 39

I'll give you a head start.
(x )(x )
What do you think the missing number is?

Answer 40

-7 and 4

Answer 41

Not quite. It's -4.
So you have
(x- 7)(x-4)

Answer 42

\[\large \large \frac{ (x-7)(x+4) }{(x-7)(x-4) }\] Make sense so far?

Answer 43

yes sorry i had to wash dishes

Answer 44

Alright.
What does (x-7) / (x-7) give you?

Answer 45

o

Answer 46

0

Answer 47

Alright. So now you are left with (x+4)(x-4) Is that in any of your answer choices?

Answer 48

yes

Answer 49

@GoldPhenoix

Answer 50

Alright, therefore that's the answer.
I hope you understand!
I hope this help! :)

Answer 51

wait can you put it in fractio

Answer 52

Put what as a fraction?

Answer 53

look at vthr prob again youll see what im talking about

Answer 54

Well you cancel out both (x-7)
So you are left with