Friday, February 25, 2011

Chapter 8, Factoring Polynomials

for pages 290-291 of book, using the inequalities of the coefficients, to factor a polynomial into an approximate form:

Must *ALL* inequalities be true to use, for example in equation 8.95.

If in equation 8.95, the first several inequalities are met, However one, such as |a4/a3| >> |a5/a4| is not met(an inequality that is later than the first two)..., could you still factor this into a form such as 8.94., and then do you go back and try and factor out the other terms into an approximate form?

I just wanted to make sure that maybe the book did not completely explain the issue.

thanks
Mark

1 comment:

  1. Equations (8.90) and (8.91) show a more general case when an inequality that is later than the first two is not met. Cases where more than one inequality are not met are not discussed explicitly in in the book.

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