Find the quotient of the following polynomials
using the long division algorithm. Identify the
quotient and remainder. Express your answer in Q(x) + R(x)/D(x)
. Show your complete
solution.
using the long division algorithm. Identify the
quotient and remainder. Express your answer in Q(x) + R(x)/D(x)
. Show your complete
solution.
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EXAMPLE
Unlike the examples on the previous page, nearly all polynomial divisions do not "come out even"; usually, you'll end up with a remainder.
Divide 3x3 – 5x2 + 10x – 3 by 3x + 1
I start with the long-division set-up:
long-division set-up
Looking only at the leading terms, I divide 3x3 by 3x to get x2. This is what I put on top:
x^2 up on top