Calculate the product (x-a)(x-b)(x-c)...(x-z), where the factors continue for…
2026
Calculate the product (x-a)(x-b)(x-c)...(x-z), where the factors continue for every lowercase letter from a through z, including the factor (x-x).
- A.
0
- B.
3
- C.
26
- D.
Infinity
Attempted by 3406 students.
Show answer & explanation
Correct answer: A
The factors continue for every lowercase letter from a through z.
Therefore, one of the factors is (x - x).
Since (x - x) = 0, the product contains a factor of 0. Any product containing 0 as a factor is 0.
Answer: 0.