According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots?

a. f(x)= 5x^4+10x^2

b. f(x)= 5x^5+3x^4+12x^3+7x^2-2x+15

c. f(x)= 6x^5+x^3-4x^2+x-5

d. f(x)= 7x^6+3x^3+12

d.

Explanation:-

The fundamental theorem of algebra tells that every non-constant single-variable polynomial with complex coefficients has at least one complex root. Corollary to the fundamental theorem tells that every polynomial of m>0 degree has exactly m zeroes.

Thus only option d. with degree 6 has exactly 6 roots.

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