SOLUTION: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and v
Algebra.Com
Question 1115284: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.
n=3,
-3 and 6+5i are zeros;
f(1)=200
Please help I am completely lost here and have no idea how to solve this :( :(
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
--------------------------------
n value.
n=3,
-3 and 6+5i are zeros;
f(1)=200
--------------------------------
Three factors with x needed, because degree 3, or n=3.
You are given two of the zeros, and since complex zeros come as "conjugate pairs", you can fill in form your three given zeros.
Simplify this, at least as far as maybe to get real number coefficients.
------still in factored form, but showing only real coefficients in both factors.
Find the unknown factor, a.
-----this factor is 1.
--------------the equation you want, unless you wish it multiplied further.
Use whatever graphing tool you want to.
RELATED QUESTIONS
Find an nth-degree polynomial function with real coefficients satisfying the given (answered by josgarithmetic)
Find an nth-degree polynomial function with real coefficients satisfying the given (answered by josgarithmetic)
Find an nth-degree polynomial function with real coefficients satisfying the given (answered by josgarithmetic)
Find an nth-degree polynomial function with real coefficients satisfying the given (answered by Fombitz,Boreal)
Find an nth-degree polynomial function with real coefficients satisfying the given (answered by Fombitz,Alan3354)
Find an nth-degree polynomial function with real coefficients satisfying the given (answered by stanbon,MathTherapy,greenestamps)
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 MathLover1)
Find an nth-degree polynomial function with real coefficients, a leading... (answered by Fombitz)