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BBB 2022 - Secondary 3 - Preliminary Round Question 3

BBB · BBB 2022 - Secondary 3 - Preliminary Round

Question 3

If $a$, $b$, $c$ and $d$ are all integers and $(x-1)(2x-3)(4x-5)=ax^3+bx^2+cx+d$ for all $x$, find the value of $a-b+c-d$.
  1. −90
  2. 90
  3. 80
  4. −80