SOLUTION: Find a polynomial equation with real coefficients that has the given roots. 44 and

SOLUTION: Find a polynomial equation with real coefficients that has the given roots. 44 and - 5i

Question 1068173: Find a polynomial equation with real coefficients that has the given roots.
44 and - 5i
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Polynomials with real coefficients have complex roots in complex conjugate pairs.

Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.
p(x) = (x-44)*(x-5i)*(x+5i) = (x-44)*(X+25).

For a polynomial with real coefficients, the complex roots goes in pairs:
a + bi and a - bi, the complex number and it conjugate.

Therefore, your polynomial has the complex roots 5i and -5i.

RELATED QUESTIONS
Find a polynomial equation with real coefficients that has the given roots.... (answered by robertb)
Find a polynomial equation with real coefficients that has the given roots... (answered by josgarithmetic)
Find a polynomial equation with real coefficients that has the roots -3 and... (answered by richard1234)
Write a polynomial function with rational coefficients so that P(x)=0 has the given... (answered by tommyt3rd)
Find a polynomial equation with real coefficients that has the roots of -5,... (answered by ikleyn,Edwin McCravy)
Find a polynomial equation with real coefficients that has the given roots 5 and -3i (answered by MathLover1)
Find the simplest polynomial equation with the real coefficients that has the given roots (answered by rothauserc)
Please help me with this equation-Thank You! Find a polynomial equation with real... (answered by scott8148,solver91311)
Find a third-degree polynomial equation with rational coefficients that has the given... (answered by erica65404)