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If complex coefficients are allowed, the answer is 3.
If the polynomial must have real coefficients, then each complex root comes as a pair of complex conjugate roots.
Root -5 is real, so that is 1 root, and degree 1.
Root 1 + 4i is complex, so it must come with its complex conjugate, 1 - 4i. This adds 2 roots to the polynomial, and now we're up to degree 3.
Root -4i is also complex. It also must come with its complex conjugate, 4i. That adds two more roots, and the degree is 5.
Answer: The least possible degree is 5 with real coefficients.
Answer:
2/5 (B)
Step-by-step explanation:
![x^\frac{1}{y}=\sqrt[y]{x}](https://tex.z-dn.net/?f=x%5E%5Cfrac%7B1%7D%7By%7D%3D%5Csqrt%5By%5D%7Bx%7D)
So:
because
The anset to your question is 1/2
