SOLUTION: The function f is defined by f(x)=3x^2+4x Find f(4n) ----------- ----------- ----------- ----------- --- f(4n)=3(4n)^2+4(4n) What I did is: 3

Algebra ->  Expressions -> SOLUTION: The function f is defined by f(x)=3x^2+4x Find f(4n) ----------- ----------- ----------- ----------- --- f(4n)=3(4n)^2+4(4n) What I did is: 3      Log On


   



Question 1047322: The function f is defined by f(x)=3x^2+4x
Find f(4n)
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f(4n)=3(4n)^2+4(4n)
What I did is: 3((4n)(4n))+4(4n)
3(16+4n+4n+n^2)+4(4n)
48+12n+12n+3n^2+16n
48+24n+3n^2+16n
But I also did this:12n^2+4(4n)
12n^2+16n

I am not sure which answer is correct. I believe what
confuses me is the question if whether I should factor out 3(4n)^2
For example: 3(4n)^2= 3((4n)(4n)) =3(16+4n+4n+n^2)
I know I should simplify but the exponent confuseso me.
Please help me solve the problem.

Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.
The function f is defined by f(x)=3x^2+4x
Find f(4n)
~~~~~~~~~~~~~~~

f(4n) = 3%2A%284n%29%5E2+%2B+4%2A%284n%29 = 3%2A16%2An%5E2+%2B+16n = 48%2An%5E2+%2B+16n.