Quadratic Formula
Multiplying Polynomials
Combining like terms
Solve the Equation
"Word Problems"
100
What is the quadratic formula?
-b+- square root (b2-4ac) / 2a
100
(2n + 2)(6n + 1)
122 + 14n + 2
100
5n + 11n
16n
100
(k + 1)(k − 5) = 0
-1, 5
100
An orange is shot up into the air with a catapult. The function 
Would the domain be positive or negative? Explain.
Positive, time can't be negative.
200
Solve
2m2+2m-12
2, -3
200
(4n + 1)(2n + 6)
8n2 + 26n + 6
200
n + 4 − 9 − 5n
-4n-5
200
x2 − 11x +24=0
3, 8
200
An orange is shot up into the air with a catapult. The function
How high is the orange when it was launched in the air?
15 feet
300
Solve
x2+2x-3
1, -3
300
(4p −1)2
16 p2 − 8p + 1
300
(5p2 − 3) + (2p2 − 3 p3 )
−3p3 + 7p2 − 3
300
6n2 − 18n − 24 =0
4, -1
300
The function f represents the revenue in dollars the school can expect to receive if it sells 220-12x coffee mugs for x dollars each. Here is the graph of function f. What are the X intercepts AND what do they mean?
(0,0) and (18,0)
at $0 and $18, they will make no revenue
400
Solve
3x2-4x+10
2/3, +- square root -104/6
400
(7k − 3)(k 2 − 2k + 7)
7k3 − 17k2 + 55k − 21
400
(−x4 + 13x5 + 6x3 ) + (6x3 + 5x5 + 7x4 )
18x5 + 6x4 + 12x3
400
n2 − 10n + 24=0
6, 4
400
Is 0<=x<=20 an appropriate domain for the function f? Explain your reasoning.
no it should be 0<=x<=18 because that is domain inside the parabola.
500
Solve
2x2-3x-20
4, -5/2
500
(6n2 − 6n − 5)(7n2 + 6n − 5)
42n4 − 6n3 − 101n2 + 25
500
(3 − 6n5− 8n4 ) − (−6n4− 3n − 8n5 )
2n5 − 2n4 + 3n + 3
500
7r2 − 14r+7=0
1
500
At what price should the school sell their coffee mugs to get the maximum revenue? Explain your reasoning.
$8-$10 because that is the vertex.