According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

Accepted Solution

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 powerThat is why for example a quadratic equation has 2 rootsNow, to get 8 roots, the highest exponent should be 8After 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