Suzette has at most $150 to spend at game stop. she wants to buy video games that each cost $32.75 and a game controller the cos
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3 | 1 5 -8 6
. | 3 24 48
- - - - - - - - - - - - - - - -
. | 1 8 16 54
That is to say,
The remainder is 54.
Another way of doing it is to apply the polynomial remainder theorem, which says the remainder upon dividing a polynomial by
is exactly
. So recognizing that the listed coefficients refer to
we find