10.6 Day 3 - Quadratic Formula and Discriminant Homework

10.6 Day 3 - Quadratic Formula and Discriminant Homework
Quadratic Formula Practice: Write out the Quadratic Formula in the box 
For 1 - 6:
1) Find the discriminant to figure out the number of solutions and if you can factor the quadratic
2) If the discriminant is a perfect square, factor the quadratic
3) If it is not a perfect square, use the quadratic formula to find the solution(s) of x.
2
1) x  4x  1  0
2
2) 3x  3x  1
2
4) x  10x  12
2
5) 6  x  2x
2
3) 4x  11x  3
2
6) x  4x  5  0
7. List the FIVE methods we can solve quadratic equations:
1.________________________, 2._________________________, 3._________________________ 4._______________________5.______________________
For 8 - 10, pick one of the five methods to solve the following quadratic equations:
8.
9.
10 .
Discriminant Practice:
Write out the discriminant in the box
For 11 - 16, find the value of the discriminant and use the discriminant to tell if there are two solutions, 1 solution,
or no solutions. Then, explain if you can factor the quadratic based on the value of the discriminant.
2
11) x  2x  4  0
2
12) 4x  4x  1  0
2
13) 6x  x  2  0
2
14) x  6x  9  0
2
15) 6  2x  13x
2
2
16) 3x  3  10x  3x
Graphing Review!
17. Convert the following into vertex form, then graph the quadratic (at least 5 points). Identify the vertex.
Axis of Symmetry:____________________
Vertex:_________________________________
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