Answered: 2 a) Consider the polynomial functions…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 43E

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2 a) Consider the polynomial functions

f(x)=-(x-1)^2(x-3)(x+1) , answer the followings

(i) Describe the End Behavior using Limit Notation.
(ii) List each real zero and its multiplicity.
(iii) Determine whether the graph crosses or touches the x-axis at each x-intercept.
(iv) Determine the behavior of the graph near each x-intercept (zero).
(v) Determine maximum number of turning point
Using above information graph the function.
b) Using rational zeros theorem, find all the real zeros of f(x)=x^4-4x^3+9x^2-20x+20
and write in factor form.

c) Solve the inequality f(x)=x^3+x^2 < 4x+4

and write the solution set in interval notation.

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