To find another root of the polynomial, we can assume that the polynomial has rational coefficients since the given root is not a rational number. Let's consider this polynomial as P(x).
We know that if a polynomial has rational coefficients and one irrational root, then its conjugate must also be a root. This is known as the Conjugate Root Theorem.
The conjugate of 3 - √7 is 3 + √7. So, we can say that 3 + √7 must also be a root of the polynomial because it satisfies the Conjugate Root Theorem.
if 3- square root 7 is a polynomial root name another root of the polynomial.
explain how you know it must also be root
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