Posted by Tim on Thursday, March 10, 2011 at 5:29pm.
Find the polynomial function P of the lowest possible degree, having real coefficients, with the given zeros.
3+2i, 2 and 1

Algebrazeroes  MathMate, Friday, March 11, 2011 at 10:14am
The zeroes of polynomials are either real or complex. Complex zeroes always come in with the conjugates.
Since the three zeroes above do not include conjugates, the minimum degree of polynomial is 3+1=4.
The polynomial having zeroes of
3+2i, 2, 1
and the conjugate 32i is therefore
P(x)=(x(2))(x1)(x32i)(x3+2i)
=(x+2)(x1)(x²6x+13)
Expand if necessary
Answer This Question
Related Questions
 calculusplease help!!  I have two questions that I don't understand and need ...
 algebra 3  Find a polynomial of lowest degree with only real coefficients and ...
 college algebra  form a polynomial f(x) with real coefficients having the given...
 algebra  form a polynomial f(x) with real coefficients having the given degree ...
 Algebra ll  Please help!! I do not understand any of this!! Form a polynomial f...
 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 ...
 Algebra  Form a polynomial f(x) with real coefficients having the given degree ...
More Related Questions