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Question
38/55
all imaginary roots comes in pairs.
true false
Step1: Recall conjugate root theorem
For polynomials with real coefficients, if $a+bi$ (where $a,b\in\mathbb{R}, b
eq0$) is a root, then its complex conjugate $a-bi$ is also a root.
Step2: Verify the statement
Imaginary roots (non-real complex roots) of such polynomials must occur in conjugate pairs. The statement refers to this standard result in polynomial theory.
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True