# (t^3-3t^2+5t-6)divided by (t-2)

t^2

t-2! t^3-3t^2+5t-6

t^3-2t^2

then t

t-2 t^2 +5t -6

t^2 -10t

then 15

t-2 15t -6

15t -30

then remainder 24

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t^2

t-2! t^3-3t^2+5t-6

t^3-2t^2

then t

t-2 t^2 +5t -6

t^2 -10t

then 15

t-2 15t -6

15t -30

then remainder 24

check my work