Quotient and remainder
[ divides Q,R] =
quorem(A,B,var)A by B and
returns the quotient Q and remainder R of
the division, such that A = Q*B + R. This syntax
regards A and B as polynomials
in the variable var.
If A and B are matrices, quorem performs
elements-wise division, using var are a variable.
It returns the quotient Q and remainder R of
the division, such that A = Q.*B + R.
[ uses
the variable determined by Q,R] =
quorem(A,B)symvar(A,1). If symvar(A,1) returns
an empty symbolic object sym([]), then quorem uses
the variable determined by symvar(B,1).
If both symvar(A,1) and symvar(B,1) are
empty, then A and B must
both be integers or matrices with integer elements. In this case, quorem(A,B) returns
symbolic integers Q and R,
such that A = Q*B + R. If A and B are
matrices, then Q and R are
symbolic matrices with integer elements, such that A = Q.*B
+ R, and each element of R is smaller
in absolute value than the corresponding element of B.
Compute the quotient and remainder of the division
of these multivariate polynomials with respect to the variable y:
syms x y p1 = x^3*y^4 - 2*x*y + 5*x + 1; p2 = x*y; [q, r] = quorem(p1, p2, y)
q = x^2*y^3 - 2 r = 5*x + 1
Compute the quotient and remainder of the division of these univariate polynomials:
syms x p = x^3 - 2*x + 5; [q, r] = quorem(x^5, p)
q = x^2 + 2 r = - 5*x^2 + 4*x - 10
Compute the quotient and remainder of the division of these integers:
[q, r] = quorem(sym(10)^5, sym(985))
q = 101 r = 515