Respuesta :
According to the conjugate zeros theorem, when a polynomial has a complex zero, so the conjugate of such a zero is also a zero.
What is a Conjugate Zeros Theorem?
According to the Conjugate Zeros Theorem, when a complex number a + bi is such a zero of such a polynomial with real coefficients, then its complex conjugate, a - bi, is likewise a zero of the polynomial. It's also known as that of the Conjugate Pair Theorem.
Some key features regarding the conjugate zero theorem are-
- One method for determining the zeros of an extended polynomial has been the conjugate zeros theorem.
- If we are provided an imaginary zero, we can occasionally factor this polynomial and find additional zeros using the conjugate zeros theorem.
- According to the conjugate zeros theorem, if a polynomials uses a single complex zero, therefore the conjugate of such a zero is also a zero.
- This Conjugate Zeros Theorem can be used to assist us find the zeros of an extended polynomial.
- When we are given a imaginary zero, we can factor the polynomial then find the other zeros using the conjugate zeros theorem.
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