State division algorithm for polynomials.
Question:

State division algorithm for polynomials.

Solution:

“If f(x) and g(x) are two polynomials such that degree of f(x) is greater than degree of g(x) where g(x) ≠ 0,

then there exists unique polynomials q(x) and r(x) such that

f(x) = g(x) × q(x) + r(x),

where r(x) = 0 or degree of r(x) < degree of g(x).