Posted by Bella on Friday, August 24, 2012 at 9:40pm.
form a polynomialf(x) with real coefficients, having the given degree and zeros
degree 5; zeros 5;i; 5+i

college alg  drwls, Friday, August 24, 2012 at 10:02pm
If x = i and x = 5 +i are roots, so must be x = i and x = 5 i.
A(x+5)(xi)(x+i)(x+5+i)(x+5i)= 0
is a polynomial with those roots, where A is any constant.
Let's set A = 1.
That can be rewritten
(x+5)(x^2 +1)(x^2 +10x +25 +1)= 0
or
(x^3 +5x^2 +x +5)(x^2 +10x +26) = 0
Multiply that out for the full fifth order polynomial.
Answer This Question
Related Questions
 calculusplease help!!  I have two questions that I don't understand and need ...
 College Algebra! help!  Form a polynomial f(x) with the real coefficients ...
 College Algebra  Form a polynomial f(x) with real coefficients having the given...
 College algebra  Form a polynomial f(x) with the real coefficients having the ...
 college algebra  Form a polynomial, f(x), with real coefficients having the ...
 college algebra  form a polynomial f (x) with real coefficients having the ...
 college algebra  form a polynomial f(x) with real coefficients having the given...
 Algebra ll  Please help!! I do not understand any of this!! Form a polynomial f...
 Calculus  Form a polynomial, f(x) with real coefficients having the given ...
 Algebra  Form a polynomial f(x) with real coefficients having the given degree ...
More Related Questions