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About Alon Mandes
Expertise
Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems.
Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .
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1. I'm a team member of mathnerds (math site for answering questions)
2. I'm a team member in the Student's Union of the Technion, helping
students who have problems in mathematics.
3. 2 years of experience as a math teacher in college.
4. I give free homework help for high school students in
Mathematics & Physics.
5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" ,
"Complex Functions".
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Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.
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M.A in Mathematics & Bs.c in Electronics.
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You are here: Experts > Teens > Homework/Study Tips > Calculus > precalculus!!!
Calculus - precalculus!!!
Expert: Alon Mandes - 11/5/2009
Question
write a 4th degree polynomial with the given zeros 2,-2-5i
Answer
4th degree polynomial has 4 zeroes. We have been given 2, we need to find the other 2.
Since complex zeroes come in pairs, that mean that -2+5i is also a zero ("it's the conjugate").
The last zero can be also z=2 , that gives us order two. Therefore, the 4th degree polynomial
will be : f(z)=(z-2)²(z+2+5i)(z+2-5i) .
Alon.
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