Question

A cubic polynomial with rational coefficients has the roots 6 +and . Find one additional root. (1 point) Responses –6 – –6 – Image with alt text: square root six 6 + 6 + Image with alt text: square root six –6 + –6 + Image with alt text: square root six 6 –

Answer 1

Since the given polynomial has rational coefficients and the given roots are 6+√6 and 6-√6, the additional root must be the conjugate of 6+√6 which is 6-√6.