Which of the following is the complete list of roots for the polynomial function f(x)=(x2+6+8)(x2+6x+13)

x=i√14,−i√14,−3+2i,−3−2i

Step-by-step explanation:

Set the function equal to  0  and solve for  x.

The zeros of given polynomial function are -4 , -2

Step-by-step explanation:

Given polynomial,

We have to find the zeros of the polynomial.

Consider the given polynomial,

Zeros are the point where the value of function is equal to 0  that is

Using , zero product property ,

we have,

or

We solve it one by one,

consider  

we solve the quadratic using middle term splitting method,

6x can be written as 4x + 2x ,

taking x common from first two term and 2 common from last two terms, we have,

Again using zero product rule, we have,

or  

or  

Now, consider the second quadratic equation

Thus, the zeros of given polynomial function are -4 , -2