SOLUTION: Write a third degree polynomial function y = P(x) with rational coefficients so that P(x) = 0 has roots -2 and 6 + i

Algebra.Com
Question 1131018: Write a third degree polynomial function y = P(x) with rational coefficients so that P(x) = 0 has roots -2 and 6 + i
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
This and so many like it have been done already.

y=p(x)
zeros are v, and a+i.

Another zero is a-i.






, and you could multiply further to simplify .

RELATED QUESTIONS

Write a third degree polynomial function y=P(x) with rational coefficients so that P(x)=0 (answered by josgarithmetic)
Write a third degree polynomial function y=P(x) with rational coefficients so that P(x)=0 (answered by jsmallt9)
Write a third degree polynomial function y=P(x) with rational coefficients so that P(x)=0 (answered by stanbon)
Write a polynomial function with rational coefficients so that P(x)=0 has the given... (answered by tommyt3rd)
Write a polynomial function with rational coefficients so that P(x)=0 has the given... (answered by solver91311)
Write a polynomial function P(x) with rational coefficients so that P(x)=0 has the given... (answered by stanbon)
Write a polynomial function of least degree with rational coefficients so that ​P(x)=0... (answered by MathLover1)
Write a polynomial function with rational coefficients so that P(x)=0 has the given... (answered by josgarithmetic)
Write a polynomial function with rational coefficients so that P(x)=0 has the given... (answered by fractalier)