A polynomial equation with rational coefficients has the roots 7 + 3,2 - 16. Find two additional roots

The additional roots of a polynomial equation is 10 and - 14

Step-by-step Explanation:

Given that the polynomial equation with rational coeffients has the roots

7+3,2-16

To find the two additional roots:

The polynomial equation with coeffients in rational, complex

roots and irrational roots may occur in conjugate pairs.

The roots are 7+3,2-16

7+3=10 and 2-16=-14 (adding the terms)

Therefore the additional roots of a polynomial equation is 10 and - 14