Multiple choice

By which of the following is the value 6x2 + 3 - 5x smaller than 8 + 3x + 9x2?

  1. 5 + 4x + 6x2

  2. 5 + 8x + 3x2

  3. 3 + 8x + 9x2

  4. 5 + 4x + 7x2

  5. 3 + 3x + 4x2
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B Correct answer
Explanation

From the given question, it is very clear that we have to find the difference of the two equations. Therefore, 8 + 3x + 9x2 - (6x2 + 3 - 5x) = 5 + 8x + 3x2

AI explanation

To find how much smaller one expression is than another, subtract the smaller from the larger: (9x²+3x+8) – (6x²–5x+3) = 3x²+8x+5. This difference, written as 5+8x+3x², is exactly what must be added to the first expression to reach the second, confirming it as the correct 'smaller by' amount.

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