KFind a polynomial P(x) with real coefficients having a degree 4, leading coefficient 3, and zeros 4 -i and 3i.P(x) = (Simplify your answer.)

To find a polynomial with real coefficients having a degree 4, leading coefficient 3,and zeros .

Answered: Find a polynomial P(x) with real…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 10CT

See similar textbooks

Similar questions

If the polynomial function P(x)=anxn+an1xn1+....+a1x+ao< has integer coefficients. then the only numbers that could possibly be rational zeros of P are all of the form pq, where p is a factor of _________and q is a factor of _______________. The possible rational zeros of P(x)=6x3+5x219x10 are __________________________.
If we divide the polynomial P by the factor xc and we obtain the equation P(x)=(xc)Q(x)+R(x), then we say that xc is the divisor, Q(x) is the _________, and R(x) is the ________.
(a) If a is a zero of polynomial P. then _________mustbe a factor of P(x). (b) If a is a zero of multiplicity m of the polynomial P, then _______must a factor Of P(x) when we factor P completely.
(a) If we divide the polynomial P(x) by the factor xc and we obtain a remainder of 0, then we know the c is ______of P. (b) If we divide the polynomial P(x) by the factor xc and we obtain a remainder of k, then we know that P(c)=.
True or False? If c is a real zero of the polynomial P, then all the other zeros of P are zeros of P(x)/(xc).
Which of the following statements couldn't possibly be true about the polynomial function P? (a) P has degree 3, two local maxima, and two local minima. (b) P has degree 3 and no local maxima or minima. (c) P has degree 4, one local maximum, and no local minima.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

SEE MORE TEXTBOOKS

Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 3, and zeros 4-i and 3i. P(x)=(Simplify your answer.)