Question

Given the trinomial 2x² + 4x - 2, what is the value of the discriminant?

1) 0
2) 10
3) 32
4) 36

Answer 1

The value of the discriminant for the trinomial 2x² + 4x - 2 is 32.

Step-by-step explanation:

The discriminant of a quadratic equation is the expression inside the square root of the quadratic formula. For the trinomial 2x² + 4x - 2, the coefficients are a = 2, b = 4, and c = -2. The discriminant can be found using the formula D = b² - 4ac. Substituting the given values, we have D = (4)² - 4(2)(-2) = 16 + 16 = 32.

Therefore, the value of the discriminant is 32 (option 3).