Let
a(x) = -6x3 + 19x2 + 8x + 12,
and b(x) = 3x2 + x + 1.
When dividing a by b, we can find
the unique quotient polynomial a
and remainder polynomial r that
satisfy the following equation:
a(2)
b(a)
=
r(x)
q(x) +
b(x)
where the degree of r(x) is less
than the degree of b(x). what is the quotient,q(x)? what is the remainder,r(x)?
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