Factoring/Solving - GCF
Factor: 3x-12
Factor: x2-4
(x+2)(x-2)
Factor: x2+11x+30
(x+5)(x+6)
Factor:
x2+3x+2
(x+2)(x-1)
The path of a rocket is modeled by the equation y=-5x2+30x+10, where x represents time in seconds and y represents height in meters. What is the highest point the rocket reaches?
55 meters
Factor: 4x2-8x
4x(x-2)
Factor: x2-121
(x+11)(x-11)
Factor: x2-7x+12
(x-4)(x-3)
Factor: 2x-8
2(x-4)
The path of a rocket is modeled by the equation y=-5x2+30x+10, where x represents time in seconds and y represents height in meters. How long does it take the rocket to reach its highest point?
3 seconds
Factor: 9x2-6x
3x(3x-2)
Factor: 9x2-25
(3x+5)(3x-5)
Factor: x2-8x-20
(x-10)(x+2)
Factor: x2-36
(x+6)(x-6)
The path of a rocket is modeled by the equation y=-5x2+30x+10, where x represents time in seconds and y represents height in meters. What height was the rocket launched from?
10 meters
Solve:
7x2-49x=0
x=0, x=7
Solve:
x2-36=0
x=6, x=-6
Solve:
x2+7x+12=0
x=-4, x=-3
Factor completely: 3x2-3
The path of a rocket is modeled by the equation y=-5x2+30x+10, where x represents time in seconds and y represents height in feet. At approximately what time(s) is the rocket exactly 40 meters above the ground?
1.3 seconds and 4.7 seconds
Solve:
8x2+12x=0
Solve:
4x2-9=0
x=-3/2, x=3/2
x2+5x-14=0
x=-7, x=2
Factor completely: 5x2-40x+35
5(x-7)(x-1)
The path of a rocket is modeled by the equation y=-5x2+30x+10, where x represents time in seconds and y represents height in feet. During which time interval is the rocket more than 50 meters above the ground?
2 to 4 seconds