For the quadratic 3x^2 - 12x + 9 = 0, what is the sum of its roots?

Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

For the quadratic 3x^2 - 12x + 9 = 0, what is the sum of its roots?

Explanation:
The sum of the roots of a quadratic in the form ax^2 + bx + c = 0 is -b/a. Here, a = 3 and b = -12, so the sum is -(-12)/3 = 4. You can confirm by factoring: 3x^2 - 12x + 9 = 3(x^2 - 4x + 3) = 3(x - 1)(x - 3), giving roots 1 and 3, which add up to 4.

The sum of the roots of a quadratic in the form ax^2 + bx + c = 0 is -b/a. Here, a = 3 and b = -12, so the sum is -(-12)/3 = 4. You can confirm by factoring: 3x^2 - 12x + 9 = 3(x^2 - 4x + 3) = 3(x - 1)(x - 3), giving roots 1 and 3, which add up to 4.

Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy