Thursday

April 24, 2014

April 24, 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

**Related Questions**

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 ...

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 ...

pre-calculus - form a polynomial f(x) with real coefficients having the given ...

Math - Use the given information about a polynomial whose coefficients are real...

algebra - form a polynomial f(x) with real coefficients having the given degree ...

college algebra - form a polynomial f(x) with real coefficients having the given...

Math - find a polynomial of least degree(having real coefficients) with zeros: 5...

College Algebra! help! - Form a polynomial f(x) with the real coefficients ...