Which is a possible combination of root types for a 7th degree polynomial? Which is a possible combination of root types for a 7th degree polynomial?
6 rational roots, 1 irrational root
3 irrational roots, 4 complex roots
2 rational roots, 2 irrational roots, 3 complex roots
7 rational roots

Given:

Degree of a polynomial is 7.

To find:

The possible combination of root types for a 7th degree polynomial.

Solution:

We know that, by complex conjugate root theorem, is a complex number is a root of a polynomial, then its conjugate is also the root of that polynomial, it means number of complex roots always an even number.

Similarly,

Irrational roots are also occurs in pairs. If is a root of polynomial, then its is also the root of that polynomial, it means number of irrational roots always an even number.

In options A, B and C either complex or irrational roots are odd, which is not true.

Therefore, the correct option is D.

me

step-by-step explanation:

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )