Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newlinex6+14x510x416x3+x26x+4x^6 + 14x^5 - 10x^4 - 16x^3 + x^2 - 6x + 4\newline____

Full solution

Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newlinex6+14x510x416x3+x26x+4x^6 + 14x^5 - 10x^4 - 16x^3 + x^2 - 6x + 4\newline____
  1. Identify highest power of xx: Look at the highest power of xx, which is 66 in x6x^6.\newlineDegree of the polynomial: 66
  2. Degree of the polynomial: According to the Fundamental Theorem of Algebra, a polynomial of degree nn has exactly nn complex roots.\newlineNumber of complex roots: 66

More problems from Fundamental Theorem of Algebra