Question 1

What is the sum of the roots of the quadratic equation

3x^2 - 12x + 9 = 0

?

Accepted Answer

4

Answer

6

Answer

9

Answer

3

Question 2

Which of the following is a simplified form of the expression

3x^2 - 12x + 9 = 0

?

Accepted Answer

5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}

Answer

5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}

Answer

5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}

Answer

5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}

Question 3

What is the discriminant of the quadratic equation

3x^2 - 12x + 9 = 0

and what does it indicate about the nature of the roots?

Accepted Answer

Discriminant = -8; the equation has two complex roots.

Answer

Discriminant = 0; the equation has one real root.

Answer

Discriminant = 16; the equation has two real and distinct roots.

Answer

Discriminant = 8; the equation has two real and distinct roots.

Question 4

Which of the following represents the vertex form of the quadratic function

3x^2 - 12x + 9 = 0

?

Accepted Answer

5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}

Answer

5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}

Answer

5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}

Answer

5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}

Question 5

What is the solution to the equation

3x^2 - 12x + 9 = 0

?

Accepted Answer

x = 4 or x = -4

Answer

x = -4

Answer

x = 4

Answer

x = 8 or x = -8

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