InstructionsQuestion 26If f(x) is a polynomial and (2) * 0, what can be concluded?O(x-2) is a factor of f(x)O(x + 2) is a factor of f(x)(x - 2) is not a factor of f(x)O(x + 2) is not a factor of f(x)◄ PreviousNo new data to

Answered: If f(x) is a polynomial and (2) * 0,…

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 49E

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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?
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.
Write a fourth degree polynomial function with real coefficients and the given zeros. i,2i

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If f(x) is a polynomial and (2) * 0, what can be concluded? O(x-2) is a factor of f(x) O(x + 2) is a factor of f(x) (x-2) is not a factor of f(x) O(x + 2) is not a factor of f(x)