Question

l

Answer 1

ANSW CHOICES ARE:

1 over the quantity x minus 3 times the quantity x plus 4
1 over the quantity x minus 3 times the quantity x plus 2
1 over the quantity x plus 4 times the quantity x minus 5
1 over the quantity x plus 2 times the quantity x minus 5

Answer 2

i think it is D but not sure

Answer 3

I will convert your verbal presentation into a mathematical definition. Your use of "over" tells me that you're dealing with rational fractions.

x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12

Please verify whether or not the following is correct::\[\frac{ x-5 }{ x^2-3x-10 }+\frac{ 4 }{ x^2 }+x-12\]

Answer 4

have you attempted the question?

Answer 5

It'd be well worth learning how to use Equation Editor to present expressions like this one clearly.

Answer 6

correct but the x-12 on the second part of the equation is under the 4 withx^2

Answer 7

Next, look at this expression and determine how you might go about simplifying it.

Answer 8

I attempted the question and i got D

Answer 9

ok @mathmale, over to you

Answer 10

@alekos is it D

Answer 11

\[\frac{ x-5 }{ x^2-3x-10 }+\frac{ 4 }{ x^2+x-12 }\]

Answer 12

Is this correct?

PLEASE: DO NOT DEAL IN ANSWERS. SHOW HOW YOU GOT YOUR RESULT. THAT'S WHAT COUNTS HERE.

Answer 13

Can these two rational fractions be simplified? Combined?

Answer 14

mathmale will guide you

Answer 15

no it doesn't i just need the answer right now i know how to do it but i have 100 other problems to do and i just need confirmation @alekos

Answer 16

I want to be helpful, but I don't deal in answers, at least not without seeing how you got your results. Could you please factor both denominators and then tell me what the LCD for the whole expression would be?

Answer 17

x-3

Answer 18

I have factored the denom of the first rational function and have gotten two factors, both of which are different from yours. Try again, please. Factor x^2-3x-10.

Answer 19

im not sure

Answer 20

then you're not ready to move on. That's my point.
You can factor x^2-3x-10 in multiple ways: simiple factoring, completing the square, synthetic division, graphing and more.
Any of these familiar to you?

Answer 21

yes synthetic division

Answer 22

OK. Try using 5 as the divisor in synthetic division.

Here's the setup:

Answer 23

Edit my drawing to display your work.
If 5 is a root of the given algebraic function, then your synth. div. remainder will be zero.

Answer 24

ok

Answer 25

sorry but what are the 4 steps of synthetic division again? need a refresher

Answer 26

First, where did I get the numbers I typed out in my illustration, above?

Answer 27

the 5 was the numerator of the equation and then I am not actually sure where you got the 1, 3, and 1 ! i thought we would use 1, -3, -10 or something of that sort

Answer 28

Then I've made a typo. 1, -3 and -10 are correct.

5 is not the numerator; rather, 5 is a possible root, and we are using synth div to check whether it actually is a root or not.

Answer 29

oh ok

Answer 30

May I assume you've used the Draw utility before?

Answer 31

yes I have will do

Answer 32

then i do 5 times 1

Answer 33

Yes, and put the result under the -3.

Answer 34

Plese show your work in the Draw utility.