Question

How do I simplify this problem?

Answer 1

You know it is quite rude to close out a question when someone is explaining something......

Answer 2

\[\frac{ d ^{2} - d - 30 }{ d ^{2} +3d - 40 } + \frac{ d ^{2} +14d +48 }{ d ^{2} - 2d - 48 }\]

Answer 3

Sorry, I just gave up on it

Answer 4

the method I posted, you can go back and read it......

Answer 5

Alright

Answer 6

You need to factor each polynomial

Answer 7

Think about the products that equal the last term and when added equal the center term

Answer 8

I look at the center term first. So the numerator of the first fraction the center term is negative -1. So the 2 numbers are 1 apart and the negative goes the the higher number.

Answer 9

How do I factor them, just find the gcf?

Answer 10

Ah I'm confused

Answer 11

\[\frac{ (x+5)(x-6) }{ (x+8)(x-5)}\]

Answer 12

That is the first one factored

Answer 13

Let's do the 2nd together. take the numerator first. What is the coefficient of the center term?

Answer 14

14

Answer 15

ok, so now lets look at the last term. What are the numbers when multiplied will equal 48?

Answer 16

1,48 2,24 3,16, 4,12 6,8 and then make all of those negative

Answer 17

so we need to look at these numbers and find the ones when added give us +14

Answer 18

How do we figure that out?

Answer 19

Patterns to recognize...\[(x ^{2}+2x+1)\]if there are 2 "+" then it must be in the form (x+n)(x+n)\[(x ^{2}-2x+1)\]if there is a "-" then "+" the form must be (x-n)(x-n)\[(x ^{2}+2x-4)or(x ^{2}-2x-4)\]If you see the above form then the factor is (x-n)(x+n)

Answer 20

Add the numbers together that I separated with a comma. whatever equals 14 is what you need. Then follow the correct pattern above.

Answer 21

So 6 & 8

Answer 22

now write it according to the pattens I posted

Answer 23

So where the 2 is I put 6, or is where the x's are where I put it?

Answer 24

you need to replace n with the correct numbers

Answer 25

So (x+6)(x+8)

Answer 26

ya. follow these steps for each polynomial and see what you can simplify. sometimes you can get the same ( ) on the top and bottom and they cancel. I have to go. good luck

Answer 27

Alright thanks for the help so far!