if 3- square root 7 is a polynomial root name another root of the polynomial.
explain how you know it must also be root
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.