5.3 Notes Solving Quadratics by Graphing and Factoring

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Find the roots

• x = -1 x = 3

• x = -2 x = 3

• x = -1 x = 4

Find the solutions as an ordered pair.

• (3,0) (-4,0)

• (-3,0) (4,0)

• (-2,0) (4,0)

Find the solutions to: 7(x-10)(3x+2)

• x = 10 and x = -2/3

• x = 10 and x = -2

• x = 1 and x = -2/3

Find the roots: 5x² + 31x + 6 = 0

• x = -1 and x = -6

• x = -1/5 and x = 6

• x = -1/5 and x = -6

Find the x-intercepts: 7x² - 54x + 35 = 0

• x = 5/7 and x = 7

• x = 5 and x = 7

• x = 5/7 and x = -7

Find the zeroes: 2x² - x - 6 = 0

• x = -3 and x = 2

• x = -3/2 and x = 2

• x = -3/2 and x = -2

Find the solutions. Write as an ordered pair:

y = x² - 4

y = 5x -10

• (2,0) and (3,5)

• (2,1) and (3,4)

• (3,0) and (3,2)

Find the solutions. Write as an ordered pair:

y = x² - 11x + 28

y = -3x + 12

• (2,0)

• (4,1)

• (4,0)

Find the zeros by factoring.

h(x) = x² + 6x + 9

• (-3,0)

• (3,0)

• (-3,1)