Multiple choice general knowledge math & puzzles

Highest power of x in (x-a)(x-b)(x-c)....(x-z)

  1. 26

  2. 24

  3. 28

  4. 0

  5. 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The product contains the term (x - x) because the sequence goes from a to z. Since (x - x) = 0, the entire product is 0. The highest power of x in the resulting constant 0 is 0.

AI explanation

To find the highest power of x in the given expression, we need to determine the highest power of x that appears in each factor and then take the maximum of those powers.

In the expression (x-a)(x-b)(x-c)....(x-z), each factor (x-a), (x-b), (x-c), ..., (x-z) is a linear term. The highest power of x in each of these factors is 1.

Since we are multiplying all these factors together, the highest power of x in the entire expression will be the maximum of the powers of x in each factor, which is 1.

Therefore, the correct answer is D) 0, as there is no power of x higher than 1 in the expression.

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