17
QuizMultiple Choice

The Fundamental Theorem of Algebra — Quiz

Question 17 • Mathematics III

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f of x is equal to 8 x to the 7th power minus x to the 5th power plus x cubed plus 6

Answer
A
8 roots
B
3 roots
C
7 roots
D
4 roots

Explanation

The Fundamental Theorem of Algebra says a polynomial has as many complex roots as its degree, counting multiplicity. The highest power of x in this polynomial is x⁷, so it has 7 roots. The correct choice is 7 roots.

AI-written and checked against the verified answer.

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