Question

A polynomial equation with rational coefficients has the roots 7+√3,2-√6. Find two additional roots.

(1 point)

A. 7-√3,2+√6

B. 3-√7,6+√2

C. 7+√3,2-√6

D. 3+√7,6-√2

Answer 1

The two additional roots of the polynomial equation with given roots are Option A 7-√3 and 2+√6.

Step-by-step explanation:

To find two additional roots of a polynomial equation with rational coefficients, we need to consider the conjugates of the given roots. The conjugate of a complex number a + b√c is a - b√c. Therefore, the two additional roots would be:

7-√3 and 2+√6

So, the correct answer is Option A. 7-√3,2+√6.