43Use the Factor Theorem to determine whether x+1 is a factor of P (x)=- 2x"-x+4x+ 3.Specifically, evaluate P at the proper value, and then determine whether x+ 1 is a factor.P (1) = 0x + 1 is a factor of P (x)x + 1 is not a factor of P (x)

Answered: Image /qna-images/answer/6b6f0e00-96c9-4134-838f-60066f1dc145.jpg

Answered: 3 Use the Factor Theorem to determine…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra

Problem 2E: (a) If a is a zero of polynomial P. then _________mustbe a factor of P(x). (b) If a is a zero of...

See similar textbooks

Similar questions

DISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q are the same. P(x)=3x45x3+x23x+5 Q(x)=(((3x5)x+1)x3)x+5 Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial R(x)=x52x4+3x32x2+3x+4 in nested form, like the polynomial Q. Use the nested form to find R(3) in your head. Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value of a polynomial using synthetic division?
(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 that c is a ________ 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)=.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

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

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

3 Use the Factor Theorem to determine whether x+1 is a factor of P (x)=– 2x*-x'+4x+3. Specifically, evaluate P at the proper value, and then determine whether x+1 is a factor. P (1) = 0 x + 1 is a factor of P (x) x + 1 is not a factor of P (x)