Multiple choice

(x - 1) (x + 2) (2x + 3) (3x - 6) (x + 1) = 0 Column A Column B The number of possible values of x that are integers. 4 Compare the two quantities to decide whether

  1. the quantity in Column A is greater

  2. the quantity in Column B is greater

  3. the two quantities are equal

  4. the relationship cannot be determined from the information given
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The roots of (x-1)(x+2)(2x+3)(3x-6)(x+1) = 0 are 1, -2, -1.5, 2, -1. The integers are 1, -2, 2, -1. There are 4 integer roots. Column A is 4, Column B is 4. They are equal.

AI explanation

The roots of the equation are found by setting each factor to zero: x = 1, x = -2, x = -3/2, x = 2, and x = -1. The integer values among these roots are 1, -2, 2, and -1, totaling four possible integer values. Comparing this count to the given value of 4 in Column B shows that both quantities are the same. Therefore, the two quantities are equal.

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