Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. 6x4+8x3−12x2−10x+20____
Identify Highest Power of x: Look at the highest power of x in the polynomial 6x4+8x3−12x2−10x+20. The highest power is 4, so the degree of the polynomial is 4.
Apply Fundamental Theorem of Algebra: According to the Fundamental Theorem of Algebra, a polynomial of degree n has exactly n complex roots, counting multiplicity.Since our polynomial's degree is 4, it has 4 complex roots.