Can someone tell me how to create a quartic equation with quadratic factors with complex conjugate roots. In a question i am asked to create a polynomial having a real quadratic factor with complex conjugate roots.
[Math] what is a polynomial having a real quadratic factor with complex conjugate roots mean
polynomials
Best Answer
Choose your favorite complex non-conjugate numbers, which are $\;i, 2i\;$ , and then
$$(x-i)(x+i)(x-2i)(x+2i)=(x^2+1)(x^2+4)=x^4+5x^2+4$$