6
QuizMultiple Choice

The Fundamental Theorem of Algebra — Quiz

Question 6 • Mathematics III

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? open paren 9 x plus 7 close paren times open paren 4 x plus 1 close paren times open paren 3 x plus 4 close paren is equal to 0

Answer
A
3 roots
B
4 roots
C
1 root
D
9 roots

Explanation

The polynomial is the product of three linear factors: (9x + 7), (4x + 1), and (3x + 4). Its degree is 1 + 1 + 1 = 3, so the Fundamental Theorem of Algebra says it has 3 roots, counting multiplicity. The correct choice is “3 roots.”

AI-written and checked against the verified answer.

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