4. Using P(x) =6x+ 3x+x²+3x +4%3Da) Find all possible zeros of P(x) (without testing to see whether they are actuallyzeros).b) Determine the possible number of positive and negative real zeros using DecartesRule of signs. 1) Let P(x) = 2x-3x' +x-15a) Explain how Descartes' Rule of Signs is used to determine the possible number ofpositive and negative real roots of P(x).b) What does it mean to say that a is the lower bound and b is the upper bound for thezeros of a polynomial?

Answered: Image /qna-images/answer/c72aaf9f-e883-4315-bcbf-5139232b8cd9.jpg

Answered: 1) Let P(x) = 2x- 3x' +x-15 a) Explain…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Create a polynomial function of the form: f(x) = a (bx + e)(cx +g}*(dx + h)°, with the following conditions: i) a,b,c,d,e,g.h are non-zero integers. ii) the three factors must be different ii) a,b,c,d can all be set to one if you like iv) f(x) has to pass through all 4 quadrants Use your Curve Sketching Plan to fully characterize your function and draw an accurate sketch showing all significant features.
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Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the degree of this function? b) How many zeros does this function have? c) State the coordinates of the y-intercept.
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17) Find Possible Positive, Negative or Imaginary Zeros. f(x)= x³2x²-5x + 6 Count the number of sign changes. Positive Sign Changes = Find f(-x) = (-x)³ -2(-x)²-5(-x)+6 simplify Count the number of sign changes. Negative Sign Changes = Types of Positive Negative Imaginary (Pairs) Roots Roots Roots Since f(x) has 3 total roots 87
9. Find all real zeroes of the function p(x)= 6x' +17x – 26x +8 Solution: https://youtu.be/XBNPBY4SAB8 10. Construct a polynomial with real coefficients that has zeroes 2 and 3+i. Solution: https://youtu.be/J9c9czrqFJA 11. Find all real/complex zeroes and write the polynomial in factored form. p(x) = 3x* – 29x +101x² – 119x – 52 Solution: https://youtu.be/78Tdn3Y0dj4 x- 4 12. Express the domain in interval notation: R(x)=- x+7 %3D
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1) Let P(x) = 2x- 3x' +x-15 a) Explain how Descartes' Rule of Signs is used to determine the possible number of positive and negative real roots of P(x). b) What does it mean to say that a is the lower bound and b is the upper bound for the zeros of a polynomial?