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1. Find the degree, leading term , leading coefficient , and
constant term of each polynomial
2. Use the division algorithm to write
as a sum of a polynomial and a
rational function whose denominator 's degree is strictly greater than its
3. Sketch the graph of the function f(x) = -3x^2 + 12x +
1. (Hint: Find the vertex first.)
(a) Use the division algorithm to write
as a sum of a polynomial and a rational
function whose numerator has a smaller degree than its denominator.
(b) Evaluate f(1). How does this compare with the
remainder in the long division above?