if 3- square root 7 is a polynomial root name another root of the polynomial. show your work
explain how you know it must also be root.
To find another root of the polynomial, we can use the fact that if a is a root of a polynomial, then the conjugate of a is also a root.
Given that 3 - √7 is a root, its conjugate would be 3 + √7.
To show that 3 + √7 is also a root, we can substitute it into the polynomial and check if the polynomial evaluates to zero.
The polynomial is not given, so let's assume it is P(x).
Now substitute 3 + √7 into P(x):
P(3 + √7) = (3 + √7) - √7 = 3
Since P(3 + √7) = 3 ≠ 0, we can conclude that 3 + √7 is not a root of the polynomial.