Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. 4x5+3x4−2x3−10x2−18x−10____
Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. 4x5+3x4−2x3−10x2−18x−10____
Identify highest power: Look at the polynomial 4x5+3x4−2x3−10x2−18x−10 and find the highest power of x.The highest power of x is 5.Degree of the polynomial: 5
Determine degree: Use the Fundamental Theorem of Algebra which states that a polynomial of degree n has exactly n roots in the complex number system.So, the polynomial has 5 complex roots.