Posted by ladybug on Friday, November 23, 2012 at 2:59pm.
information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f.
degree:5, zeros: 6, 6i
please help and show all work.

college algebraneed help please!!  Reiny, Friday, November 23, 2012 at 5:34pm
From the given zeros, factors would be
(x+6) , (x6i) and (x6 + i)
the complex factors simplify to x^2 12x +37
(complex numbers always appear in conjugate pair form)
but that would only produce a cubic, so there has to be multiplicity of the above zeros.
two options :
f(x) = (x+6)^3 (x^2  12x + 37)
or
f(x) = (x+6)(x^2  12x + 37)^2
Answer This Question
Related Questions
 college algebraneed help please!!  information is given about a polynomial f(...
 college algebraneed help please!!  information is given about a polynomial f(...
 calculusplease help!!  I have two questions that I don't understand and need ...
 Algebra ll  Please help!! I do not understand any of this!! Information is ...
 Algebra ll  Please help!! I do not understand any of this!! Information is ...
 Algebra  Information is given about a polynomial f(x) whose coefficients are ...
 Math  Use the given information about a polynomial whose coefficients are real ...
 algebra  Use the given information about a polynomial whose coefficients are ...
 Precalculus  Sorry i wrote the last question wrong, it was suppose to be ...
 calculus  information is given about a polynomial f(x) whose coeffiecients are ...
More Related Questions