x2 + 5x + 4
Factor Completely:
2x + 6
2(x + 3)
x2 - 9 = 0
x = 3, -3
z2 + 15z + 54 = 0
What is the name for the shape a quadratic equation makes when graphed?
Parabola
Factor Completely:
p2 + 5p - 50
(p + 10)(p - 5)
Factor Completely:
25p2 - 1
(5p + 1)(5p - 1)
3x2 + 6x = 0
x = 0, -2
-k2 + 49 = 0
k = 7,-7
What is the equation for this equation's line of symmetry?
y = -5x2 + 15x
x = 1.5
Factor Completely:
2n2 - 6n + 4
2(n - 2)(n - 1)
Factor Completely:
3b2 + 18b + 15
3(b + 5)(b + 1)
2x2 - 2x - 24 = 0
x = 4, -3
x2 + 5x = -6x - 10
x = -10, -1
The height in meters, h, of a golf ball at time t seconds, is given by h = -5t2 + 15t. When is the golf ball 8 meters above the ground?
.69 seconds and 2.3 seconds
Factor Completely:
10 + 2t - 5s - st
(2 - s)(5 + t)
Factor Completely:
a2f2 - 64b2
(af + 8b)(af - 8b)
2x2 - 5x - 3 = 0
x = 3, -1/2
3g2 + 7g - 6 = 0
g = -3, 2/3
The height in meters, h, of a golf ball at time t seconds, is given by h = -5t2 + 15t. Find the maximum height the ball reaches.
x4 - 7x3 + 10x2
x2(x - 5)(x - 2)
Factor Completely:
4t3 + 4t2 - t - 1
(t + 1)(2t + 1)(2t - 1)
-4n2 + 10n + 6 = 0
n = 3, -1/2
6p2 + 37p = -6
p = -6, -1/6
The height in meters, h, of a golf ball at time t seconds, is given by h = -5t2 + 15t. Find the flight time of the ball.
3 seconds