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What is the value of the expression 3x2 - 5x - 6 when x = (7/2) ?

  1. –4

  2. –1

  3. 1

  4. 4

The correct answer is: –1

When x = (7/2), the expression becomes (3*(7/2)^2 - 5*(7/2) - 6) which simplifies to (3*49/4 - 35/2 - 6) or (147/4 - 35/2 - 6). This further simplifies to (-147/2 -6) or -153/2 or -76.5. Therefore, the value of the expression is -76.5. Option A, -4, is incorrect because it does not take into account the decimal value for x. Option C, 1, is incorrect because it does not take into account the negative value for the expression. Option D, 4, is incorrect because it does not take into account the decimal value for x and it is also a positive number. The only option that considers both the negative and