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Consider the following polynomial. m12,3 - n³z12 (a) Can the polynomial be treated as the difference of two cubes? O Yes O No (b) If so, what are the two expressions being cubed? In other words, if the expression is rewritten in the form (p3 - q), what are p and q? (If an answer does not exist, enter DNE.) (р, 9) %3

Consider the following polynomial. m12,3 - n³z12 (a) Can the polynomial be treated as the difference of two cubes? O Yes O No (b) If so, what are the two expressions being cubed? In other words, if the expression is rewritten in the form (p3 - q), what are p and q? (If an answer does not exist, enter DNE.) (р, 9) %3

Calculus: Early Transcendentals
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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**Consider the following polynomial:** \[ m^{12/3} - n^{3 \cdot 12} \] **(a) Can the polynomial be treated as the difference of two cubes?** - Yes (Selected) - No **(b) If so, what are the two expressions being cubed? In other words, if the expression is rewritten in the form \((p^3 - q^3)\), what are \(p\) and \(q\)? (If an answer does not exist, enter DNE.)** \((p, q) = (\_\_\_\_\_\_) \) \[ \text{(Incorrect mark)} \] **Explanation:** The question examines whether the given polynomial can be expressed as the difference of two cubes. In part (a), the answer is marked 'Yes', indicating that it is possible. In part (b), the user is prompted to identify the cube roots of each term, represented as \((p, q)\). However, the answer provided in the blank is marked incorrect.
Transcribed Image Text:**Consider the following polynomial:** \[ m^{12/3} - n^{3 \cdot 12} \] **(a) Can the polynomial be treated as the difference of two cubes?** - Yes (Selected) - No **(b) If so, what are the two expressions being cubed? In other words, if the expression is rewritten in the form \((p^3 - q^3)\), what are \(p\) and \(q\)? (If an answer does not exist, enter DNE.)** \((p, q) = (\_\_\_\_\_\_) \) \[ \text{(Incorrect mark)} \] **Explanation:** The question examines whether the given polynomial can be expressed as the difference of two cubes. In part (a), the answer is marked 'Yes', indicating that it is possible. In part (b), the user is prompted to identify the cube roots of each term, represented as \((p, q)\). However, the answer provided in the blank is marked incorrect.
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