algebra 2

Suppose the polynomial f(x) has the following roots: 1+6sqrt2, 2−sqrt6, and 6+sqrt2. If f(x) has only rational coefficients, the Irrational Root Theorem indicates that f(x) has at least three more roots.

What are the three additional roots that f(x) must have?

asked by kayla
  1. If you have x + y sqrt 2 you better have x- y sqrt 2
    because you need sqrt 2 * sqrt 2 to get those original rational coefficients

    posted by Damon
  2. thank you so much Damon

    posted by kayla

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