Apply the Fundamental Theorem of Algebra to find the number of roots for the polynomial g(x)=7x6+2x−5

Question

.(1 point)
roots

Answer 1

The Fundamental Theorem of Algebra states that every polynomial equation of degree n has exactly n roots, including repeated roots.

In this case, the polynomial g(x) has a degree of 6. Therefore, according to the Fundamental Theorem of Algebra, it will have exactly 6 roots, including repeated roots.