Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. x6−20x5−6x4+16____
Polynomial Degree: Look at the polynomial: x6−20x5−6x4+16. What's the degree of the polynomial? The highest power of x is 6. Degree of the polynomial: 6.
Fundamental Theorem of Algebra: Now, use the Fundamental Theorem of Algebra.It says that a polynomial will have as many complex roots as its degree.So, how many complex roots are there?Number of complex roots: 6.