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Paraphin [41]
3 years ago
8

If a polynomial function f(x) has roots 3+ V5 and -6, what must be a factor of f(x)?

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

Step-by-step explanation:

Radicals and imaginary numbers ALWAYS come in pairs when it comes to factors of polynomials. This is the called the conjugate theorem. If we are given a solution/root/zero that is

x = 3 + √5, then its conjugate is x = 3 - √5. Going backwards from the solution to the factor, we utilize the Zero Product Property and get

(x - (3 - √5)) which simplifies to (x - 3 + √5). if you are looking for the conjugate of the given zero, the choice you want is the second one down.

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