How many total roots must there be in this fourth-degree function?
1 answer:
Answer:
<em>It must have 4 roots</em>
Step-by-step explanation:
<u>Fundamental Theorem of Algebra</u>
One polynomial of degree n will have exactly n roots. The degree of a polynomial is the highest exponent of its variable. Some of the roots could be real, some could be imaginary (complex). If n is odd, at least one of the roots is real.
The polynomial given in the question is
has a degree of 4 (the highest exponent of x). According to the Fundamental Theorem of Algebra, it must have 4 roots
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Explanation:
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