SOLUTION: i have to find a 3rd degree polynomial equation with rational coefficient that has the given numbers as roots. 3+ i and negative 3

Algebra.Com
Question 930160: i have to find a 3rd degree polynomial equation with rational coefficient that has the given numbers as roots.
3+ i and negative 3

Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Very routine question for polynomials.

3-i is also a root because complex roots occur as conjugate pairs.

, the start.





.
You can continue multiplying if needed.

RELATED QUESTIONS

Find a third-degree polynomial equation with rational coefficients that has the given... (answered by erica65404)
Please help - I have tried to solve this 10 times and can't get it! "Find a third degree (answered by Alan3354)
find a fourth-degree polynomial equation with integer coefficients that has the given... (answered by Fombitz)
Find a fourth-degree polynomial equation with integer coefficients that has the given... (answered by Fombitz,solver91311)
Find a 3rd degree polynomial with integral coefficients that has 2 +i and -3 as two of... (answered by josgarithmetic)
FIND A THIRD-DEGREE POLYNOMIAL EQUATION WITH RATIONAL COEFFICIENTS THAT HAS ROOTS -5 AND... (answered by bucky)
Find a third-degree polynomial equation with rational coefficients that has roots –4 and... (answered by ReadingBoosters)
Find a third degree polynomial equation with rational coefficients that has roots -5 and... (answered by josgarithmetic)
Find a third degree polynomial equation with rational coeffients that has roots -2 and... (answered by MathLover1)