Factoring
x2 − 7x − 18
(x-9)(x+2)
(3p + 3)(3p + 2)
9p2 + 15p + 6
a2 + 14a − 51 = 0
(a+7)2-100
m2 − 5m − 14 = 0
(7, -2)
A rock falls off a cliff at a height of 144 feet. The function h=-16t2+144 gives the height h (in feet) of the rock after x seconds. When does the rock hit the ground?
After 3 seconds.
p2 − 5 p − 14
(p+2)(p-7)
(5x + 6)(8x − 4)
40x2 + 28x − 24
x2 − 12x + 11 = 0
(x-6)2-25
2m2 + 2m − 12 = 0
(2, -3)
A dirt bike launches off a ramp that is 8 feet tall with a velocity of 20 feet per second. Given the equation h=-16t2+20t+8, after how many seconds does the dirt bike land?
About 1.6 seconds
7x2 − 31x − 20
(7x + 4)(x − 5)
(5x − 2)(5x − 8)
25x2 − 50x + 16
n2 − 2n − 3 = 0
(n-1)2-4
2x2 − 3x − 5 = 0
(5/2, -1)
A football player kicks a football 2 feet above the ground with an upward velocity of 75 feet per second. The function h=-16t2+75t+2 gives the height (in feet) of the ball after t seconds. When is the football 50 feet above the ground?
0.8 seconds and again at 3.92 seconds
5p2 − p − 18
(5p + 9)(p − 2)
(8b − 1)(5b − 5)
40b2 − 45b + 5
x2 + 14x − 15 = 0
(x+7)2-64
4b2 + 8b + 7 = 4
(-1/2, -3/2)
A cannon launches a cannonball from a height of 3 feet with an upward velocity of 40 feet per second. The function h=-16t2+40t+3 gives the height in feet of the cannonball after t seconds. When is the cannonball 10 feet above the ground?
At 0.18 seconds and again at 2.32 seconds.
9r2 − 5r − 10
Not Factorable
(5v + 4)(3v − 6)
15v2 − 18v − 24
v2 + 6v − 59 = 0
(v+3)2-68
x2 + 2x − 1 = 2
(1, -3)
A snowboarder leaves a 8-foot-tall ramp at a velocity of 28 feet per second. The function h=-16t2+28t+8 gives the height in feet of the snowboarder after t seconds. When does the snowboarder hit the ground?
After 2 seconds.