Question A2: When we study case analysis, we will consider the polynomial function p(n) = 2n³ + 3n²+ n. We know from the first week of class that p(n): : 12 +2²+.... + n², and this gives the remarkable fact that the following implication is true: If n is an integer, then 2n³ +3n² +n is a multiple of 6. We will use case analysis, in clase, to verify this fact directly. It is helpful to note that p(n) can be written as a product, since 2n³ +3n² + n = (2n + 1)(n+1)(n). (a) How can you check that the factorization given above is true?

Question A2: When we study case analysis, we will consider the polynomial function p(n) = 2n³ + 3n²+ n. We know from the first week of class that p(n): : 12 +2²+.... + n², and this gives the remarkable fact that the following implication is true: If n is an integer, then 2n³ +3n² +n is a multiple of 6. We will use case analysis, in clase, to verify this fact directly. It is helpful to note that p(n) can be written as a product, since 2n³ +3n² + n = (2n + 1)(n+1)(n). (a) How can you check that the factorization given above is true?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 4E: Which of the following statements couldn't possibly be true about the polynomial function P? (a) P...

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