What is the value of (x - a)(x - b)(x - c) ... (x - z), where the product…
2025
What is the value of (x - a)(x - b)(x - c) ... (x - z), where the product includes one factor for every lowercase letter from a to z?
- A.
4
- B.
0
- C.
7
- D.
8
Attempted by 78 students.
Show answer & explanation
Correct answer: B
Correct answer: 0.
The product includes a factor for every letter from a to z. Since the letter x is included in that range, one factor is (x - x).
Because x - x = 0, the entire product contains a zero factor. Any product with a zero factor is 0.