Question

Simplify completely: 4x^2+5x+3/x

Answer 1

Is it one whole fraction where (4x^2+5x+3) is the numerator? If it is, then this is how you're meant to simplify:
Separate into three whole parts that corresponds to the three terms on the numerator:
\[\frac{4x^2+5x+3}{x}=\frac{4x^2}{x}+\frac{5x}{x}+\frac{3}{x}\]
Then simplify each fraction:
\[\large =4x+5+\frac{3}{x}\]

Answer 2

how do i simplify a fraction? @Azteck

Answer 3

When you have a fraction such as this:
\[\frac{4x^2}{x}\]
It can be rewritten as this right?:
\[\frac{4\times x\times x}{x}\]

Answer 4

so 4x?

Answer 5

or 16x?

Answer 6

@Azteck

Answer 7

I was asking you a yes or no question if you can read what I wrote above. I asked you whether you know that the fraction can be rewritten what I wrote above.

Answer 8

oh yea

Answer 9

@Azteck

Answer 10

So then if I take the 4x out of the numerator and put brackets around the resulting fraction, it can also be rewritten as this right?
\[\large \frac{4\times x\times x}{x}=(\frac{4x \times x}{x})\]
\[\large =4x(\frac{x}{x})\]

Answer 11

so what is it simplified?

Answer 12

@Azteck

Answer 13

4x^2 + 5x^2 + 3x?

Answer 14

WHy must you get ahead of yourself? I'm giving you simple steps to follow but you always have to leap ahead, then you hit a wall and ask me whether it's this. Let's just follow a simple road where you understand what you're doing step by step.

Answer 15

fin @Azteck

Answer 16

And you don't need to keep tagging my name. I'm already here.

Answer 17

fine

Answer 18

Okay, so what I said above, do you agree? Please be honest.

Answer 19

yup

Answer 20

So inside the brackets:
\[\large \frac{x}{x}=1\]
Correct?

Answer 21

yup

Answer 22

Then:
\[\large 4x(1)=4x\]
Right?

Answer 23

right

Answer 24

SO now:
\[\large \frac{4x^2}{x}=4x\]
Could you tell me what \[\large \frac{5x}{x}\]
would equal to?

Answer 25

alli_bear22, are you there?

Answer 26

I'm waiting for your response.

Answer 27

yea srry hold on

Answer 28

5x?

Answer 29

Remember:
\[\frac{4x^2}{x}=4x\]
What would
\[\frac{4x}{x}=?\]

Answer 30

4x or 8x

Answer 31

you cancel the like-terms. Do you know what like-terms are?

Answer 32

yea so it would just be 4

Answer 33

Yes!. So what would
\[\frac{5x}{x}=?\]

Answer 34

5

Answer 35

Correct! So now you simplified the question. THat's basically all you need to do.

Answer 36

\[\frac{3}{x}\] can't be simplified any further, so it's just that.

Answer 37

so its 4+5+3x?

Answer 38

but i know im wrong because thats not an option

Answer 39

Umm...
\[\frac{4x^2}{x}+\frac{5x}{x}+\frac{3}{x}=4x+5+\frac{3}{x}\]