Question

For questions, 14 and 15, simplify the rational expressions.
-x^2+10x-21
------------
-3x^2+23x-14

Answer 1

first factor both top and bottom, did you try that?

Answer 2

i have no idea what to do...

Answer 3

i'm not too understanding about factoring

Answer 4

well, you should start studying that, because these kind of problems need to be factored first

Answer 5

that way we can see if terms divide out

Answer 6

\[-x^2+10x-21=-(x^2-10x+21)\]
\[-(x-7)(x-3)\]

Answer 7

-(x-7)(3x-2) for denominator

Answer 8

now can you see what terms would divide out?

Answer 9

thats the top part and the bottom part looks like this
\[-3x^2+23x-14=-(3x^2-23x+14)\]
\[-(3x-2)(x-7)\]

Answer 10

sorry, my computer is going slow...

Answer 11

thanks lagrangeson, now monika the "-" signs cancel and now all you have to do is find the same thing on the top and bottom and cross them out

Answer 12

ok.. so i have -(x-7)(x-3)
----------
-(3x-2)(x-7)

Answer 13

so the x-7 cancels out

Answer 14

and the x-7 cancel and your left with (x-3)/(3x-2)

Answer 15

oh, ok.. i think i get it... i have another one if u can help me out with...

Answer 16

surf

Answer 17

sure

Answer 18

28x^2-29x+6
-------------
-28x^2+50x-12

Answer 19

so, if i understand this correctly, the 28x^2 cancels out, right....

Answer 20

NOOOOO you need to get multiplication for it to cancel not addition

Answer 21

ok, so i multiply the 28^2, right and the bottom part too...

Answer 22

hello

Answer 23

ok you need to factor it like(ax-b)(dx-f)

Answer 24

u just lost me..

Answer 25

so to factor 28x^2-29x+6
(7x-2)(4x-3)

Answer 26

nd for the bottom you need to factor it again

Answer 27

so, the bottom part is (-7x-2)

Answer 28

no the top ppart is that and the bottom part looks like this -28x^2+50x-12

Answer 29

oh, ok

Answer 30

so i have to find 2 #'s that multiply by 50 right...

Answer 31

-28x^2+50x-12=-(28x^2-50x+12)
-(4x - 6 )(7x - 2 )

Answer 32

ok, i think i get it..

Answer 33

so the 7x-2 cancels and thats your answer ;::))

Answer 34

the factoring part is like a puzzle it doesnt come easy to many

Answer 35

i was trying to understand how you got those numbers... i know the 7x-2 were going to be the same answer but the bottom part was going to be a negative.. but i just didn't understand how to get the rest..

Answer 36

like x^2+2x+1 is factorable
(x+1)(x+1) because i look at the first part and the last and make those numbers work that are in the middle

Answer 37

oh, ok.. when i see a fraction with some many numbers, I just get so confused...

Answer 38

I really appreciate that you were helping me, with this... thank you so much

Answer 39

medal? anytime just post ill get to itup a question on here attn bnut