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38/55 all imaginary roots comes in pairs. true false

Question

38/55
all imaginary roots comes in pairs.
true false

Explanation:

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.

Answer:

True