What is the product of the roots of the equation 3x^2 + 6x + 2 = 0?

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Question: What is the product of the roots of the equation 3x^2 + 6x + 2 = 0?

Options:

Correct Answer: 1/3

Solution:

The product of the roots is given by c/a = 2/3.

What is the product of the roots of the equation 3x^2 + 6x + 2 = 0?

What is the product of the roots of the equation 3x^2 + 6x + 2 = 0?

Step 1: Identify the coefficients in the quadratic equation 3x^2 + 6x + 2 = 0. Here, a = 3, b = 6, and c = 2.
Step 2: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
Step 3: Substitute the values of c and a into the formula. So, we have c = 2 and a = 3.
Step 4: Calculate the product of the roots: 2 divided by 3 equals 2/3.
Step 5: Conclude that the product of the roots of the equation is 2/3.

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