Conjugate Root Theorem
Read this topicExplanations 3
- Thus far, we have learned about various theorems and tests to help us determine the roots of a polynomial such as the rational roots test, intermediate value theorem, Descartes'…
By Trisha, Anusha Rahman
- Conjugate Root Theorem We've got a nifty theorem that will help with understanding the complex roots of polynomials! If we know that one of the roots of a polynomial is a+bia+bi…
By Anusha Rahman
- (Video) Conjugate Root Theorem by Joel Speranza Math In this video by Joel Speranza Math, you will learn about what the conjugate root theorem is and how to prove it. Summary In…
By Anusha Rahman
Problems 6
- Suppose that f(x)=x2+bx+cf(x) = x^2 + bx + cf(x)=x2+bx+c has 2−1\sqrt2-12−1 as a root, where bbb and ccc are integers. Find bbb.
- Let f(x)=ax3+bx2+cx+df(x) = ax^3+bx^2+cx+df(x)=ax3+bx2+cx+d be a real cubic polynomial with a≠0a\ne0a=0. Which of the following could be the number of nonreal zeros of fff?
- Let ω\omegaω be a non-real number such that ω3=1\omega^3 = 1ω3=1. Mark all true statements below.
- What cubic polynomial has roots 4−i4-i4−i and 333?
- What quadratic polynomial has the root 2+i2+i2+i?
- What cubic polynomial has roots iii and 111?