Question

Statement and simple problemes on division algorithm for polynomials with real coefficients​

Answer 1

Answer:

p(x) and g(x) are any two polynomials with

g(x) ≠ 0, then we can find polynomials q(x) and r(x) such that

p(x) = q(x) × g(x) + r(x)

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

The result is called Division Algorithm for polynomials.

Dividend = Quotient × Divisor + Remainder