Number of Solutions to Quadratics

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5

• x = 5 or x = -3

• x = -5 or x = 3

• x = -3 or x = -5

Which is a zero of the graph?

• 0

• -1

• 1.5

• -3

To solve a quadratic by graphing is to find where the parabola crosses the x-axis. We call these the ___. Select all that apply.

• zeroes

• x-intercepts

• solutions

• roots

Find the roots

• x = -1 x = 3

• x = -2 x = 3

• x = -1 x = 4

Which of the following quadratic equations have two real solutions?

• -7x² - x + 6 = 6

• 4x² + 2x - 2 = 2

• 9x² - 6x - 3 = -4

• 9x² + 7x - 2 = 0

The discriminant is

• ax² + bx + c

• √(b² - 4ac)

• b² - 4ac

• b² + 4ac

For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Cannot Determine

Which of the following quadratic equations have exactly one real solution?

• 5x² + 6x + 9 = 0

• -3x² - 7x - 12 = - 2

• 3x² + 6x = -3

• -4x² + 8x - 9 = - 5

How many solutions does it have?

• 0

• 1

• 2

• Cannot determine (not enough information)

For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Cannot determine (not enough information)