Sunday

November 23, 2014

November 23, 2014

Posted by **Tim** on Thursday, March 10, 2011 at 5:29pm.

3+2i, -2 and 1

- Algebra-zeroes -
**MathMate**, Friday, March 11, 2011 at 10:14amThe 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 3-2i is therefore

P(x)=(x-(-2))(x-1)(x-3-2i)(x-3+2i)

=(x+2)(x-1)(x²-6x+13)

Expand if necessary

**Answer this Question**

**Related Questions**

calculus--please 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 ...

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 ...

Algebra - Form a polynomial f(x) with real coefficients having the given degree ...