which polynomial function has the most roots?
A) f(x)=x^12-1
B) g(m)=158m^2
C) f(a)=15z^4+a^3-3a^2
D )g(n)=2n^3+3n^6

Question

which polynomial function has the most roots?
A) f(x)=x^12-1
B) g(m)=158m^2
C) f(a)=15z^4+a^3-3a^2
D )g(n)=2n^3+3n^6

zehanz · Answer

Do you know how to find roots?

anonymous · Answer

no

zehanz · Answer

You have to solve the equation f(x)=0 (or g(m)=0 etc.)

So to see how many roots f has, you need to solve x^12-1=0

zehanz · Answer

I will help you with this one: 

x^12 - 1 = 0 means: x^12 = 1 (because 1 - 1 = 0). 

Now there is at least one number that, when raised to the power 12, equals 1. 
What number is that?

anonymous · Answer

im not quit sure

zehanz · Answer

It is 1. See: 1*1*1*...*1 = 1.
Even if you multiply 1 twelve times with itself, it always remains 1!

So 1 is a root of this equation.
But there is another root! 
This means there is another number, that when raised to the 12th power, equals 1.
(it is also a very "easy" number...)

anonymous · Answer

okay now im starting to understand