Problema Solution
Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial.
Degree: 6 Zeros: 4-7i, -5-5m^3i, -10+8πi(where m is a real number)
Answer provided by our tutors
Polynomial is given as
(x-4+7i)(x-4-7i)(x+5+5m^3 i)(x+5-5m^3 i)(x+10-8i)(x+10+8i)
= x^6 + 22x^5 + (25m^6+214)x^4 + (300m^6 + 978)x^3 + (1725m^6+12265) x^2 + (106300-300m^6)x + 266500(m^6+1)