This question summarizes a few simple facts about polynomials. Recall that a polynomial p can be written in the form P(x) = Σαχ i=0 where we assume that a 0. The degree of a polynomial is the largest exponent present, and so the degree of p is n. Fill in the blanks in the following questions: The degree of p'(x) is___ The degree of f p(x)dx is ___ The degree of p²(x) (i.e., the square of p) is_ The (n+1)-th derivative of p is.

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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This question summarizes a few simple facts about polynomials.
Recall that a polynomial p can be written in the form
n
P(x) = Σαχ
i=0
where we assume that a
0. The degree of a polynomial is the
largest exponent present, and so the degree of p is n. Fill in the
blanks in the following questions:
The degree of p'(x) is_
The degree of f p(x) dx is ___
The degree of p²(x) (i.e., the square of p) is_
The (n+1)-th derivative of p is.
Transcribed Image Text:This question summarizes a few simple facts about polynomials. Recall that a polynomial p can be written in the form n P(x) = Σαχ i=0 where we assume that a 0. The degree of a polynomial is the largest exponent present, and so the degree of p is n. Fill in the blanks in the following questions: The degree of p'(x) is_ The degree of f p(x) dx is ___ The degree of p²(x) (i.e., the square of p) is_ The (n+1)-th derivative of p is.
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