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Quadratics
GCF
Factoring
100
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height after t seconds is given by the equation h(t) = -16tˆ2 +128t (if air resistance is neglected). How long will it take for the rocket to return to the ground?
What is 8 seconds
100
2nˆ4 + 4nˆ3
What is 2nˆ3(n + 2)
100
xˆ2 + 2x - 3
What is (x + 3)(x - 1)
200
Jason jumped off of a cliff into the ocean while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16tˆ2 + 16t + 480, where t is the time in seconds and h is the height in feet. What will be Jason's height after 5 seconds?
What is 160 feet
200
88nˆ3 + 55nˆ2 +55n
What is 11n(8nˆ2 + 5n + 5)
200
xˆ2 + 9x + 18
What is (x + 3)(x + 6)
300
The height in feet of an object shot from a cannon with initial velocity of 20 feet per second can be modeled by the equation h(t) = -16tˆ2 + 70t + 6, where t is the time in seconds after the cannon is forced. What is the maximum altitude that the object reaches?
What is 82.56 feet
300
24nˆ4 - 8nˆ2 + 36n
What is 4n(6nˆ3 - 2n + 9)
300
xˆ2 - 9x + 42
What is xˆ2 - 9x + 42
400
You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 feet above you. The height of the grappling hook you throw is given by the function h(t) = -16tˆ2 - 32t + 5. What is the maximum height of the grappling hook? Can you throw it high enough to reach the ledge?
What is 21 feet, yes!
400
7pˆ3 + p + 2
What is 7pˆ3 + p + 2
400
6vˆ2 + 66v + 60
What is 6(v + 1)(v + 10)
500
A diver is standing on a platform 24 feet above the pool. He jumps from the platform with an initial upward velocity of 8 ft/sec. Use the formula h(t) = -16tˆ2 + vt + s, where h is the height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How long will it take for him to hit the water?
What is 1.5 seconds
500
6xˆ5 - 15xˆ4 - 21xˆ3 + 27xˆ2
What is 3xˆ2(2xˆ3 - 5xˆ2 - 7x + 9)
500
4mˆ2 + 28m - 72
What is 4(m + 9)(m - 2)