Question

Help simplifying:

Answer 1

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

Answer 2

Does it make sense now? (Btw, this isn't in simpliest form. You know what to do next?

Answer 3

\[\large \large \large \large \large \frac{ 2x^3 }{ x^3 } + \frac{ 4x^2 }{ 3x^2 } + \frac{ 10x }{ 5x } + \frac{ 4 }{ 3 }\] ^Just to make it neater. >_>
So you know what to do next?

Answer 4

2+1+2+4/3?

Answer 5

^How did you get that?

Answer 6

I don't think I'm getting it

Answer 7

Do you understand how I split it into 4 monomials?

Answer 8

Yes. What's 2x^3/x^3? Doesn't the x^3 cancel out?

Answer 9

Well. x^3 divided by x^3 cancel out. 2 is still there. So it would be 2. Now what's 4x^2 divided by 3x^2?

Answer 10

1?

Answer 11

I mean x^2

Answer 12

Remember. We're dividing. x^2 divided by x^2 cancel out. We're left with: \[\large \large \frac{ 4 }{ 3 } OR 1.33\]

Answer 13

What would the next monomial simplify to?

Answer 14

Okay. 2

Answer 15

Correct!!! What's the next one?

Answer 16

Just 4/3

Answer 17

So the answer is 2+4/3+2+4/3?

Answer 18

No.

Answer 19

You remember each simplify monomial gives you, right? You basically add up all of them. (Since they're all like terms)
What would that give you?

Answer 20

12/6
2

Answer 21

It should give you: 2 + (4/3) + 2 + (4/3)
What does that simplify to?
Well 2 + 2 is 4.
(4/3) + (4/3) = (8/3) or (2.66)
So your answer is either 20/3 or 6.66

How did I get 20/3?
Well, 4 can be written as (4/1)
To add (4/1) to (8/3), you want to find the least common denominator. I can multiply (4/1) by 3 to get (12/3).
(12/3) and (8/3) has a common denominator.
The final step to add both fraction is to add the numerator, but keep the denominator. This will give you 20/3.

I hope this help!

Answer 22

Ah. Thank you so much!

Answer 23

No problem. :)
As long as you understand it, those problem would be quite easy for you. Just keep on practicing. :)