SOLUTION: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros -4,1-i f(x)=

SOLUTION: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros -4,1-i f(x)=

Algebra.Com

Question 962437: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros -4,1-i
f(x)=
Answer by hkwu(60) (Show Source): You can put this solution on YOUR website!
By the Conjugate Roots Theorem, if f(x) has real coefficients and has a complex root, then the conjugate of that complex root is also a root of f(x). Thus we immediately get

RELATED QUESTIONS
Find a polynomial f(x) of degree 3 with real coefficients and the following zeros.... (answered by stanbon)

Find a polynomial f(x) of degree 4 with real coefficients and the following zeros... (answered by ikleyn)

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -3,... (answered by aaronwiz)

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros.... (answered by solver91311)

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros -4,1-i (answered by hkwu)

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros 1, 3-i. (answered by ewatrrr)

Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 1,... (answered by MathLover1)

Find a polynomial f(x)of degree 3 with real coefficients and the following zeros.... (answered by ReadingBoosters)

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -2, 2 (answered by jsmallt9)