Question

Determine the total number of roots of each polynomial function.

f (x) = (3x4 + 1)2

Answer 1

the answer to this is actually 8

Answer 2

Explanation:

Alright, lets get started.

The given function as:

`f(x)=(3x^4+1)^2`

Expanding the given function

`f(x)=9x^8+6x^4+1`

The number of roots depend on the degree of the polynomial.

Any function has number of roots equal to the maximum degree of polynomial.

Here the function has degree 8, so the number of roots will be 8. : Answer

Hope it will help :)