Solving Quadratics by Factoring Review

Quad Forms 1

100

   y = x² - 2x - 15

   y = (x - 1)² - 16

   y = (x - 5)(x + 3)

Give the y-intercept (0, c).

         

The y-intercept is (0, -15)

200

   y = x² - 2x - 15

   y = (x - 1)² - 16

   y = (x - 5)(x + 3)

Give the zeros/x-intercepts/solutions.

The solutions are x = 5 and x = -3

300

   y = x² - 2x - 15

   y = (x - 1)² - 16

   y = (x - 5)(x + 3)

Give the vertex (h, k) and the axis of symmetry.

The vertex is (1, -16) and the axis of symmetry is x = 1.

Quad Forms 2

100

  y = -x² - 10x - 21

   y = -(x + 5)² + 4

   y = -(x + 7)(x + 3)

Give the y-intercept (0, c).

The y-intercept is (0, -21)

200

  y = -x² - 10x - 21

   y = -(x + 5)² + 4

   y = -(x + 7)(x + 3)

Give the x-intercepts/zeros/solutions.

The solutions are x = -7 and x = -3.

300

  y = -x² - 10x - 21

   y = -(x + 5)² + 4

   y = -(x + 7)(x + 3)

Give the vertex and the axis of symmetry.

The vertex is (-5, 4) and the axis of symmetry is x = -5.

Solving Quads by Factoring 1

100

Solve by factoring: x² + 8x + 12 = 0

The solutions are x = -6 and x = -2

200

Solve by factoring: 3x² + 28x + 9 = 0

The solutions are x= -1/3 and x = -9.

300

Solve by factoring: 6x² + 19x = -10

The solutions are x = -5/2 and x = -2/3

Solving Quads by Factoring 2

100

Solve by factoring: x² - 18x + 56 = 0

The solutions are x = 14 and x = 4.

200

Solve by factoring: 3x² - 7x + 4 = 0

The solutions are x = 4/3 and x = 1

300

Solve by factoring: 15x² -3x + 7 =5x + 6

The solutions are x = 1/5 and x = 1/3