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17/36 all imaginary roots comes in pairs. true false

Question

17/36 all imaginary roots comes in pairs. true false

Explanation:

Step1: Recall conjugate root theorem

For polynomials with real coefficients, if $a+bi$ (where $b
eq0$) is a root, then its complex conjugate $a-bi$ is also a root.

Step2: Verify the statement

All imaginary (non-real complex) roots of such polynomials must occur in conjugate pairs, making the statement true.

Answer:

True