Question

Simplify:
(x^2+2x-15)/(x^2-7x+12)

Answer 1

First you factor each set of parentheses

Answer 2

I did parentheses to show that its a big fraction
its x^2+2x-15 OVER x^2-7x+12

Answer 3

Yes, you will factor each trinomial

Answer 4

Do you know how to do that?

Answer 5

No I wasn't paying attention in class today and I need help on it. I know most math after learning it but I have a problem paying attention sometimes and today I just didn't understand how to do it. Please answer, I will learn it tomorrow probably. Most of the class is review so I just need help for today.

Answer 6

Okay, so for the first trinomial you are supposed to find two number that when multiplied equal -15 and that when added equal -2

Answer 7

When you find those two numbers you will place them in two sets of parentheses and input into this: (x - _)(x + _). That is for the top of the fraction.

Answer 8

Then you will do the same for the bottom:
Find two numbers that when multiplied equal -12 and that when added equal -7.
Then input these two numbers that you find in two parentheses as well: (x - _)(x - _)

Answer 9

Do you understand that? :)

Answer 10

so for the bottom it would be 3 and 4, like (x+3)(x+4)?

Answer 11

oh no, its negative. That confuses me... so like (x-3)(X-4)?

Answer 12

yes, correct!

Answer 13

So if the number found is a positive you would put it like (x + 4) with a plus in the middle, and if number is negative you will just put a negative (like in this case) (x - 4).

Answer 14

yeah okay, so it ends up being (x+5)(x-3)/(x-4)(x-3)?

Answer 15

But its supposed to be a positive 2 i think you read it wrong

Answer 16

Ok, sorry yes, you are right :)

Answer 17

thanks

Answer 18

ur welcome

Answer 19

give me a medal? :)

Answer 20

thanks