Special Cases
How many solutions ?
Hot Topic
100
Factor the following expression:
p2-36
What is (p-6)(p+6) ?
100
Solve the following equation. If the equation has no real solution write no solution.
x2-9=0
What is x=3 and x=-3 ?
100
Use zero product property to solve the equation:
(x-9)(x-8)=0
What is x={9,8} ?
200
Factor the following expression:
y2-16y+64
What is (y-8)2 ?
200
Solve the equation below. If it has no solution write no solution.
1/4x^2-1=0
What is x=2 and x=-2 ?
200
Solve the following equation using Zero Product Property:
(4a-7)(3a+8)=0
What is a=7/4 and a=-8/3
300
Factor the following expression:
4r2+36r+81
What is (2r+9)2 ?
300
Solve the following equation. If the equation has no solution write no solution.
144-p2=0
What is p=12 and p=-12 ?
300
Solve. Factor the following quadratic by grouping:
x3+x2-4x-4=0
What is (x-2)(x+2)(x+1)=0 so x={2,-2,1}
400
The given expression represents the area of a square. Find the side length of following square:
25r2+30r+9
What is (5r+3)2 ?
400
Find the side length of a square that has an area of 169m2.
Be sure to include unit measurements in your final answer. Round to the nearest tenth if necessary.
What is 13m ?
400
Write the following equation in standard form and solve it:
16n+7n2+15=2n2+3
Standard Form:
0=5n2+16n+12
Solutions:n={-2, -6/5}
500
Find a pair of factors for the following number by using difference of squares. 
Your NUMBER IS: 91
What is (13)(7) ?
500
For the function below. Determine how many solutions does the function have. What is the axis of symmetry? What is the vertex of the function?
f(x)=3x2-9x+2
Solutions: two solutions
Axis of symmetry: x= (3/2)
Vertex: (1.5,-4.75)
500
What is a 3x4?