Let p(x) be a polynomial of degree 3. Its derivatives, around the point x =:-5, are as follows:p(-5) = 908;p(-5) = –504;p(2) (-5) = 180;p(3)(-5) = -30;What is the value of p(4)?

solution:-let p(x) be a polynomial of degree 3p(x)=ax3+bx2+cx+dwhere a,b,c & d are parametersat…

Answered: Let p(x) be a polynomial of degree 3.…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 36E

See similar textbooks

Similar questions

Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.
A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is counted m times.
Find a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.
For k(x)=(−3x2+2x−3)(x−2)(−x+3), find the derivative of k(x) using the product rule.
Find a cubic polynomial f(x)=ax3+bx2+cx+d that has horizontal tangents at the points (-5,2) and (4,-4).
Find an equation for a polynomial f(x) that satisfies the following: Degree 3 Zero at x=3 Zero at x=2 Zero at x=-1 Y intercept of (0,4) F(x)=?
find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all steps.
For k(x)=(x−1)(−x2−2x)(2x−2), find the derivative of k(x) using the product rule. Do not include "k(x)=" in your answer. For example, if your answer is k′(x)=4x4, you would enter 4x4.
Find a cubic polynomial with a critical point at x = 2, and inflection point at (1,4), and a leading coefficient of 1.
given that the instantaneous rate of change of a polynomial is never zero on the entire domain of the function, what can you state about the function’s behaviour?
Find the derivative of the function using the power rule.(a) f(x) = 3/5x5 − 4x −4/3x-3(b) f(x) = x4 − 5/x5
2) Find the derivative of g(x) = 4x^2−3x+5 using the limit process.

SEE MORE QUESTIONS

Recommended textbooks for you

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

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

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

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Let p(x) be a polynomial of degree 3. Its derivatives, around the point æ = -5, are as follows: p(-5) = 908; p(-5) = -504; p(2)(-5) = 180; p(3)(-5) = -30; What is the value of p(4)?