Let a(x) = 6x⁹ – 5x8 – 12x³ + 60, and
b(x) = x6.
When dividing a by b, we can find the
unique quotient polynomial q and
remainder polynomial r that satisfy the
following equation:
a(x)
b(x)
=
q(x) +
r(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)?