Which of the following is the complete list of roots for polynomial function f(x)=(x^2+6x+8)(x^2+6x+13)?

a)-3+2i,-3-2i

b)-2,-4

c)-2,-4,-3+2i,-3-2i

d)-2,-4,-3+2i,3+2i

Equaling the function to zero we have:

For the first parenthesis we have:

Therefore the roots are:

For the second parenthesis we have:

By completing squares we have:

Therefore the roots are:

The following is the complete list of roots for polynomial function:

C) -2, -4, -3 + 2i, -3-2i

The complete roots of the function are .Option (C) is correct.

Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has roots or zeroes.

Given:

The function is

Explanation:

To obtain the roots of the polynomial function substitute for

Either the value of or

Solve the function to obtain the zeroes.

Solve the function to obtain the zeroes.

The roots can be obtained as follows,

The complete roots of the function are Option (C) is correct.

Learn more:

1. Learn more about inverse of the functionhttps://link.

2. Learn more about equation of circle link.

3. Learn more about range and domain of the function link

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: roots,linear equation, quadratic equation, zeros, function, polynomial, solution, cubic function, degree of the function.

option: d is correct

step-by-step explanation:

853.3

step-by-step explanation: