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2) Let p(x) =-3(x-2)²(x+3)(x+1)³. 2a) Compute the y intercept of p. 2b) List the zeros of p and determine their multiplicity. 2c) Determine the end behavior of p.

2) Let p(x) =-3(x-2)²(x+3)(x+1)³. 2a) Compute the y intercept of p. 2b) List the zeros of p and determine their multiplicity. 2c) Determine the end behavior of p.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.6: Multiplying Polynomials
Problem 48WE
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### Polynomial Analysis and Graphing Exercise **Problem Statement:** Let \( p(x) = -3(x - 2)^2(x + 3)(x + 1)^3 \). **Tasks:** **2a)** Compute the \( y \)-intercept of \( p \). **2b)** List the zeros of \( p \) and determine their multiplicity. **2c)** Determine the end behavior of \( p \). **2d)** Use your calculator to sketch the graph of \( p \). Make sure that your picture displays the information gathered in parts a, b, and c. --- *Note:* Ensure your graph accurately reflects the calculated intercepts, zeros, and end behavior for a thorough understanding of \( p(x) \).
Transcribed Image Text:### Polynomial Analysis and Graphing Exercise **Problem Statement:** Let \( p(x) = -3(x - 2)^2(x + 3)(x + 1)^3 \). **Tasks:** **2a)** Compute the \( y \)-intercept of \( p \). **2b)** List the zeros of \( p \) and determine their multiplicity. **2c)** Determine the end behavior of \( p \). **2d)** Use your calculator to sketch the graph of \( p \). Make sure that your picture displays the information gathered in parts a, b, and c. --- *Note:* Ensure your graph accurately reflects the calculated intercepts, zeros, and end behavior for a thorough understanding of \( p(x) \).
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