Name: __________________________________________
Bl:__
SG – Factoring and the Finding the Root
1. What steps do you use to factor a quadratic?
2. What is the quadratic formula?
3. How do you know when to use the quadratic formula rather than factoring?
4. What is the discriminant and what does it tell you?
5. What words are synonyms of x-intercept? (Hint-there are 3).
Factor the quadratics below, and solve for the root.
6. 𝑥 2 + 7𝑥 + 6=0
9.
7. 𝑦 = 𝑥 2 + 3𝑥 − 10
10.
𝑓(𝑥) = 49𝑦 2 + 28𝑦 + 4
11.
𝑦 = 2𝑥 2 − 16𝑥 + 24
8. 0=𝑥 2 − 49
𝑦 = 3𝑥 2 − 16𝑥 + 5
Name: __________________________________________
Bl:__
Use the Quadratic Formula to find the roots of the following quadratics.
Tell how many solutions each one has based on the discriminant.
12.
(𝑥) = 2𝑥 2 + 3𝑥 + 1
14.
Which of the following is one factor of 3𝑥 2 + 11𝑥 + 6?
(x+2)
(x+3)
(3x+1)
(3x+3)
a.
b.
c.
d.
15.
13.
𝑦 = 𝑥 2 + 9𝑥 + 14
Write a quadratic function that has a no solution, 1 solution and 2 solutions.
Explain why it would have that many solutions in terms of the discriminant.
No Solutions
1 Solution
2 Solutions
WHY:
WHY:
WHY: