Answer:
option A is correct
Step-by-step explanation:
The number of roots a polynomial has is a factor of the exponent to which it’s highest power is raised
What we are saying here is that the number of roots a polynomial has is equal to the exponent on its highest power
That is why for example a quadratic equation has 2 roots
Now, to get 8 roots, the highest exponent should be 8
After expansion, the first polynomial has a term in the 8th power so it is our answer
The second polynomial, although we have a term in x^4 but it is raised to another 4 which is totally raised to 16 and that cannot be our answer
The correct answer here is the first polynomial
