Quadratic Equations

Solve for x: x^2 - 5x + 6 = 0

• x = 1

• x = 2, x = 3

• x = 5

• x = 4

Factor the expression: x^2 + 7x + 10

• (x + 3)(x + 4)

• (x + 2)(x + 5)

• (x - 2)(x - 5)

• (x + 1)(x + 10)

Graph the function: f(x) = x^2 - 4

• The graph is a straight line with a slope of 2.

• The graph is a parabola opening upwards with vertex at (0, -4) and x-intercepts at (-2, 0) and (2, 0).

• The graph has no x-intercepts and is a constant function.

• The graph is a parabola opening downwards with vertex at (0, 4).

Use the quadratic formula to solve: 2x^2 + 3x - 5 = 0

• x = 3, x = -1

• x = 1, x = -2.5

• x = 2, x = -1.5

• x = 0, x = -5

Determine the roots of the equation: x^2 - 9 = 0

• x = 0

• x = 3, x = -3

• x = -6

• x = 6

Factor the expression: x^2 - 8x + 16

• (x - 2)(x - 6)

• (x + 4)(x - 4)

• (x - 8)(x + 2)

• (x - 4)^2

Solve for x: 3x^2 + 12x = 0

• x = -2

• x = 2

• x = 0, x = -4

• x = 4

Graph the function: f(x) = -2x^2 + 8x - 6

• The graph is an upward-opening parabola with vertex at (2, -2).

• The y-intercept is at (0, 6).

• The x-intercepts are at (0, 0) and (4, 0).

• The graph of the function is a downward-opening parabola with vertex at (2, 2), x-intercepts at (1, 0) and (3, 0), and a y-intercept at (0, -6).

Use the quadratic formula to solve: x^2 + 4x + 4 = 0

• x = -2

• x = -4

• x = 2

• x = 0

Determine the roots of the equation: 4x^2 - 12x + 9 = 0

• 2

• 1.5

• -1

• 3.5