Question 375001
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I'm going to assume that you mean "...can the absolute value of the numerical coefficient ever be larger than the smallest numerical coefficient in the polynomial..."


No.  If the coefficient in the potential factor were larger than any of the coefficients in the polynomial, then that coefficient couldn't be a factor of that term of the polynomial.


Yes.  Consider a three term polynomial with numerical coefficients of 6, 34, and 22.  The GCF of the polynomial would have a numerical coefficient of 2 which is smaller than all of the coefficients.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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