Apply the Fundamental Theorem of Algebra to find the number of roots for the polynomial g(x) = 7x^6+2x-5

Answer 1

The Fundamental Theorem of Algebra states that a polynomial of degree n has exactly n roots, counting multiplicity.

In this case, the polynomial g(x) = 7x^6 + 2x - 5 is of degree 6. Therefore, it has exactly 6 roots, counting multiplicity.