2. Assume that x > -1. Prove that (1+ x)" >1+ nx for n = 0, 1, 2, ....
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
Chapter5: Factoring Polynomials
Section5.4: Multiplying Binomials Mentally
Problem 49WE
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Don’t forget to write your ASSUMPTION, what you NEED TO SHOW, and your CONCLUSION.
![1. Prove by cases that 25x² + 35x is an even integer whenever 5x – 8 is an integer. Note
here that the variable x may not necessarily be an integer.
2.Assume that x > –1. Prove that (1+x)" >1+ nx for n = 0, 1, 2, . .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb072ba7a-98f3-4d6b-b590-36b6b82bd867%2F2505f55c-6276-4c73-a8ea-963d8e84f1cb%2Fznzzrb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Prove by cases that 25x² + 35x is an even integer whenever 5x – 8 is an integer. Note
here that the variable x may not necessarily be an integer.
2.Assume that x > –1. Prove that (1+x)" >1+ nx for n = 0, 1, 2, . .
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