Polynomial

Relation of roots of a polynomial to amplitude distribution of its coefficients

Relation of roots of a polynomial to amplitude distribution of its coefficients
  1. What is a root of a polynomial equation?
  2. How do you know if a polynomial has real roots?

What is a root of a polynomial equation?

Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero. If a is the root of the polynomial p(x), then p(a) = 0.

How do you know if a polynomial has real roots?

for the real roots of a polynomial with real coefficients. If this bound is not greater than 1, this means that all nonzero coefficients have the same sign, and that there is no positive root. If all nonzero coefficients have the same sign, there is no positive root, and the maximum must be zero.

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