Exploring the Quadratic Formula and Discriminant

What is the standard form of a quadratic equation?

• ax^2 + bx + c = 0

• ax + bx + c = 0

• ax^2 + c = 0

• ax^2 + bx = 0

In the quadratic formula, what does 'b' represent?

• The constant term

• The coefficient of x^2

• The coefficient of x

• The term under the square root

In the quadratic formula, what does 'a' represent?

• The coefficient of x^2

• The term under the square root

• The constant term

• The coefficient of x

What should you do to ensure your calculator performs the addition or subtraction before division in the quadratic formula?

• Divide first, then add or subtract

• Put parentheses around the numerator

• Use a scientific calculator

• Use a different formula

What should you do if the number under the square root is not a perfect square?

• Ignore it

• Simplify it using a factor tree or square roots

• Multiply it by 2

• Divide it by the coefficient of x^2

What is the simplified form of the square root of 656?

• 4√41

• 8√41

• 16√41

• 2√41

What is the discriminant in the quadratic formula?

• The constant term

• The coefficient of x

• The entire quadratic formula

• The term under the square root

If the discriminant is greater than 0, how many real solutions does the quadratic equation have?

• None

• One

• Two

• Infinite

What is the value of the discriminant for the equation 10x^2 + 2x + 12 = 0?

• 4

• 0

• 16

• 8

What does it mean if the discriminant is zero?

• There are two real solutions

• The equation is not quadratic

• There are no real solutions

• There is one real solution