AnswersAlgebra IIThe Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra — Quiz Answers

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3

Which of the following describes the roots of the polynomial function f of x is equal to open paren x minus 3 close paren to the 4th power times open paren x plus 6 close paren squared ?

A
negative 3 with multiplicity 2 and 6 with multiplicity 4
B
3 with multiplicity 2 and negative 6 with multiplicity 4
C
negative 3 with multiplicity 4 and 6 with multiplicity 2
D
3 with multiplicity 4 and negative 6 with multiplicity 2
4

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 6 roots?

A
f of x is equal to 7 x to the 6th power plus 3 x cubed plus 12
B
f of x is equal to 5 x to the 5th power plus 3 x to the 4th power plus 12 x cubed plus 7 x squared minus 2 x plus 15
C
f of x is equal to 5 x to the 4th power plus 10 x squared plus 2
D
f of x is equal to 6 x to the 5th power plus x cubed minus 4 x squared plus x minus 5
7

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

A
f of x is equal to open paren 3 x to the 4th power plus 2 x close paren to the 4th power
B
f of x is equal to open paren 6 x to the 8th power minus 4 x to the 5th power minus 1 close paren times open paren 3 x squared minus 4 close paren
C
f of x is equal to open paren 3 x squared minus 4 x minus 5 close paren times open paren 2 x to the 6th power minus 5 close paren
D
f of x is equal to open paren 4 x squared minus 7 close paren cubed
10

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 11 roots?

A
f of x is equal to 11 x to the 5th power plus 5 x plus 25
B
f of x is equal to open paren x plus 2 close paren cubed times open paren x squared minus 7 x plus 3 close paren to the 4th power
C
f of x is equal to open paren x minus 1 close paren times open paren x plus 1 close paren to the 11th power
D
f of x is equal to open paren x to the 5th power plus 7 x plus 14 close paren to the 6th power

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