Question
Write a function division such that division(f,g) returns the quotient and remainder of f divided by g, where f and g are polynomials in one
Write a function "division" such that division(f,g) returns the quotient and remainder of f divided by g, where f and g are polynomials in one variable (implement the division algorithm from our notes). Use the function leadTerm to get the leading term of a polynomial. You can use the built-in M2 functions for quotient // and remainder % of terms (or monomials). For example, to check if a term m2 divides a term m1, you can check if the remainder of m1 dividedby m2 is zero with (m1%m2)==0. To get the quotient of m1 divided by m2, you can write m1//m2. Do not use the built-in M2 functions for quotient // and remainder % for anything other than a term or monomial (you can use them to check the outputs of your algorithm though) i want to solve by Macaulay 2
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