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8th grader's father's question on operations on polynomials versus on numbers
Posted:
Nov 24, 2013 11:54 PM


I am not a mathematician. My son is studying polynomial operations. His chapters include addition, subtraction, multiplication and division of two polynomials. This is pretty much on lines with earlier study of similar operations between two numbers. After all these years of knowing these operations on polynomials, I wonder why some other operations between two numbers don't have equivalents in polynomials and what they could possibly mean. If a and b are numbers of suitable characteristics, ath power (or root) of b and logarithm of b to the base of a are well defined. What could these mean if a and b were polynomials? What could (x+1)^(2x+1) or (2xy+3)log(x1) mean? Thanks in advance, Bhushit



