flyingpig said:How does 3 go into 4? Why couldn't you do a fraction decomposition?
SammyS said:[tex]\frac{2x^5}{3x^2}=\frac{2}{3}\,x^3\,,[/tex] not 4x3
SammyS said:[tex]\frac{2x^5}{3x^2}=\frac{2}{3}\,x^3\,,[/tex] not 4x3
Added in Edit:
Unless you're doing Z5[x], in which case it is 4x3, since 12 ≡ 2 mod 5 .
sarah77 said:It is in Z5 so 3x4=12 which is 2 in Z5 or am I missing something?
I cannot use fractions, I don't think 2/3 is in Z5
Polynomial division is the process of dividing one polynomial by another polynomial in order to find the quotient and remainder.
Q[x] is the set of all polynomials with coefficients from the rational numbers. It is often used in polynomial division to represent the coefficients of the quotient.
Z5[x] is the set of all polynomials with coefficients from the integers modulo 5. It is often used in polynomial division to represent the coefficients of the remainder.
R[x] is the set of all polynomials with coefficients from the real numbers. It is often used in polynomial division to represent the coefficients of both the quotient and remainder.
Polynomial division is used in various fields of science and engineering, such as physics, computer science, and economics. It is used to model and solve real-world problems, such as predicting population growth or analyzing data sets.