SOLUTION: Write a polynomial function with rational coefficients so that P(x)=0 has the given roots.
1.) -4 and 5i
Algebra.Com
Question 745890: Write a polynomial function with rational coefficients so that P(x)=0 has the given roots.
1.) -4 and 5i
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
complex roots of polynomials with real always come in conjugate pairs so if 5i is a root, then so is -5i.
so the general polynomial is...
but the principal polynomial is
RELATED QUESTIONS
Write a polynomial function P(x) with rational coefficients so that P(x)=0 has the given... (answered by stanbon)
Write a polynomial function with rational coeffecients so that P(x)=0 has the given... (answered by richard1234)
Write a polynomial function with rational coefficients so that P(x)=0 has the given... (answered by solver91311)
Write a third degree polynomial function y=P(x) with rational coefficients so that P(x)=0 (answered by stanbon)
Write a polynomial with rational coefficients so that P(x)=0 has the given roots: -1 and... (answered by Boreal,MathLover1)
Write a polynomial function with rational coefficients so that P(x)=0 has the given... (answered by fractalier)
Write a polynomial function with rational coefficients so that P(x)=0 has the given... (answered by josgarithmetic)
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)