(A) Explanation Definition used: A polynomial function is a function that can be written in the form f ( x ) = a n x n + a n − 1 x n − 1 + ... + a 1 x + a 0 for n a nonnegative integer, called the degree of the polynomial. Calculation: Rewrite the polynomial f ( x ) = ( 2 x − 5 ) 2 ( x 2 − 9 ) 4 as, f ( x ) = ( 4 x 1 0 − 20 (B) To determine To find: All x intercept of the polynomial, f ( x ) = ( 2 x − 5 ) 2 ( x 2 − 9 ) 4 . (C) To determine To find: The y intercept of the polynomial f ( x ) = ( 2 x − 5 ) 2 ( x 2 − 9 ) 4 .

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134668574

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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Chapter 1.4, Problem 10E

(A)

To determine

To find: The degree of the polynomial f(x)=(2x−5)2(x2−9)4.

(B)

To determine

To find: All x intercept of the polynomial, f(x)=(2x−5)2(x2−9)4.

(C)

To determine

To find: The y intercept of the polynomial f(x)=(2x−5)2(x2−9)4.

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Chapter 1.4, Problem 9E

Chapter 1.4, Problem 11E

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Chapter 1 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. 1.1 - Matched Problem 1 Sketch the graph of each...Ch. 1.1 - Matched Problem 2 Determine which of the following...Ch. 1.1 - Matched Problem 3 Find the domain of the function...Ch. 1.1 - Matched Problem 4 Use the functions in Example 4...Ch. 1.1 - Matched Problem 5 Find the domains of functions F,...Ch. 1.1 - Matched Problem 6 Repeat Example 6 for f(x) = x2 ...Ch. 1.1 - Matched Problem 7 The financial department in...Ch. 1.1 - To graph the equation y = x3 + 3x, we use...Ch. 1.1 - Prob. 2ED Ch. 1.1 - In Problems 18, use point-by-point plotting to...

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The degree of the polynomial f ( x ) = ( 2 x − 5 ) 2 ( x 2 − 9 ) 4 .

Solution Summary: The author explains that a polynomial function can be written in the form f(x)=a_nx

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To find: The degree of the polynomial f(x)=(2x−5)2(x2−9)4.

To find: All x intercept of the polynomial, f(x)=(2x−5)2(x2−9)4.

To find: The y intercept of the polynomial f(x)=(2x−5)2(x2−9)4.

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Chapter 1 Solutions