Can the coefficients of cubic polynomial be irrational? Justify
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The function divide (starting with a lower case d) shouldn't be used for polynomials with algebraic coefficients. One must use the inert form Divide (starting with an upper case D). ... However, all irrational algebraic coefficients of the polynomials must then be defined with RootOf's.
Step-by-step explanation:
a cubic reaction has three distinct irrational roots. By the Rational Root Theorem, any rational root of p(x)=x3+ax2+bx+c is given by ±d, where d is a factor of c. So, if we set c=±1, if p has a rational roots it must be ±1.
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