SOLUTION: Let f be a fourth-degree polynomial function with real coefficients. Three of the zeros of f are -1,2, and 3+2i. What is the fourth zero? Explain

Algebra.Com
Question 761182: Let f be a fourth-degree polynomial function with real coefficients. Three of the zeros of f are -1,2, and 3+2i. What is the fourth zero? Explain
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
The situation is comparable to a quadratic equation which has two complex zeros. Complex zeros having imaginary components occur in conjugate pairs. The conjugate of 3+2i is 3-2i.
RELATED QUESTIONS

Find a polynomial f(x) of degree 4 with real coefficients and the following zeros... (answered by ikleyn)
Find a 3^10 degree polynomial function with real coefficients; given zeros are 2 and 2i,... (answered by Fombitz)
Find a polynomial function f(x) of least degree having only real coefficients with zeros... (answered by robertb)
find a fourth degree polynomial function with real coefficients satisfying the given... (answered by jsmallt9)
Find an nth degree polynomial function with real coefficients satisfying the given... (answered by Fombitz)
find an nth degree polynomial function with real coefficients satisfying the given... (answered by greenestamps)
Form a polynomial f(x) with real coefficients having the given degree and zeros... (answered by Alan3354)
Find the nth-degree polynomial function with real coefficients satisfying the conditions: (answered by jsmallt9)
Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -3,... (answered by aaronwiz)