[Answer] For the polynomial 8x3y2 – x?y2 + 3xy2 – 4y3 to be fully simplified and written in standard form the missing exponent on the x-term must be (______________)

For the polynomial 8x3y2 – x?y2 + 3xy2 – 4y3 to be fully simplified and written in standard form the missing exponent on the x-term must be (______________)

A polynomial may be in expanded form in which case it is a sum of (positive integer) powers with coefficients but it may be in factored form or as in the example you gave partially factored form . But the set of polynomials forms a ring and in order for multiplication in the ring to be well-defined two equal expressions must both be …

1) In particular the exponents m n k need not be equal whereas Fermat’s last theorem considers the case m = n = k . The Beal conjecture also known as the Mauldin conjecture and the Tijdeman-Zagier conjecture states that there are no solutions to the generalized Fermat equation in positive integers a b c m n k with a b and c being pairwise coprime and all of m n k …

This isn’t my best day. You can also solve a third-degree polynomial directly but I guess Newton’s method is simpler. — Meni Rosenfeld 08:42 2 March 2006 (UTC) Beware though that an exactly-fit polyn…