if 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?\n-5…
if 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?\n-5 - 6i\n5 - 6i\n6 - 5i\n6 + 5i
Answer
Explanation:
Step1: Recall the conjugate root theorem
For a polynomial function (f(x)) with real - valued coefficients, if (a + bi) is a root, then its complex conjugate (a - bi) is also a root.
Step2: Identify the complex conjugate
Given the root (5 + 6i), its complex conjugate is (5-6i).
Answer:
B. (5 - 6i)