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According to the Fundamental Theorem of Algebra, which polynomial function has exactly 6 roots?
f (x) = 5 x Superscript 4 Baseline + 10 x squared + 2
f (x) = 5 x Superscript 5 Baseline + 3 x Superscript 4 Baseline + 12 x cubed + 7 x squared minus 2 x + 15
f (x) = 6 x Superscript 5 Baseline + x cubed minus 4 x squared + x minus 5
f (x) = 7 x Superscript 6 Baseline + 3 x cubed + 12

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Answer:

D is the answer

Step-by-step explanation:

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According to the Fundamental Theorem of Algebra, the polynomial with 6 roots is given by:

[tex]f(x) = 7x^6 + 3x^3 + 12[/tex]

What is the Fundamental Theorem of Algebra?

It states that a polynomial of degree n has n roots. The degree is given by the highest exponent of x.

In this problem, we want a polynomial of degree 6, hence the polynomial with 6 as the largest exponent of x is given by:

[tex]f(x) = 7x^6 + 3x^3 + 12[/tex]

More can be learned about the Fundamental Theorem of Algebra at https://brainly.com/question/10345879

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