A polynomial expression is shown below:

(10x^5 + 5x^3 + x) - (x + 21)(2nx^2 + 1)

The expression is simplified to:
10x^5 - 19x^3 - 504x^2 - 21

What was the value of n?

Question

A polynomial expression is shown below:

(10x^5 + 5x^3 + x) - (x + 21)(2nx^2 + 1)

The expression is simplified to:
10x^5 - 19x^3 - 504x^2 - 21

What was the value of n?

anonymous · Answer

where is your n in the simplified equation? or did you just set it to =n

anonymous · Answer

lol there is no = sign,you are missing some part

anonymous · Answer

The first equation is
$$(10x ^{5}+5x ^{3}+x)-(x+21)(2nx ^{2}+1)$$
The n is in the term "2nx^2"

anonymous · Answer

That's all the info they gave me for the question.

anonymous · Answer

im asking about 10x^5 - 19x^3 - 504x^2 - 21 where is the n

anonymous · Answer

It was simplified using n's value... which I don't know.. they want me to find out what n's value was.

anonymous · Answer

ohhhhhhh i remember these... let me do research, this was a long time ago for me

anonymous · Answer

Alrighty

anonymous · Answer

well looking at the 5x^3 turning into -19x^3 we know that the (2n)+5 needs to be -19

anonymous · Answer

19+5 is 24 so the term needs to be -24x^3 sooooo n=12

anonymous · Answer

and its a positive 12 because the negative is going to be distributed

anonymous · Answer

(2nx^2 + 1)
is 
(12x^2+1)

anonymous · Answer

sorry
((2(12))x^2+1)

anonymous · Answer

@TammisaurusRex still confused?

anonymous · Answer

not sure, if she is or not. @calmat01

anonymous · Answer

Well, was just curious because she may still be looking it over, but everything you did is perfect...n=12 is correct.

anonymous · Answer

@calmat01 thank you for checking! yeah, she hasnt responded so im not sure.

anonymous · Answer

No problem.

anonymous · Answer

Thank you! (: You're right, yes

anonymous · Answer

no worries