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Sunday, March 17, 2013

Polynomials - Nested Form

Category: Algebra

"Published in Newark, California, USA"

Rewrite the given polynomial into nested form 



If x = 1, find the value of the function.

Solution:

It is possible to eliminate the exponential powers of the given polynomial by rewriting it into nested form. Nested means grouped then factored. Let's consider the given equation above



Arrange the given polynomial according to their descending power if they are not yet arranged. If any of the exponential term is missing, you must include it by adding zero times the missing exponential term. Since the given polynomial is already arranged according to their descending power, then we can proceed with the grouping and factoring as follows
























Therefore, in nested form is



If x = 1, then the value of the function is
















Therefore, 



Check: