Name _________________________________________________ Date ____________________ Block _________
Factoring to Find Roots Homework
Find the roots of each function.
1. y = (x – 5)(x + 3)
3. (3x + 1)(x + 6) = 0
Factor to find the roots.
5. y = x2 + 6x
2. (x + 6)(x + 8) = 0
4. y = 4x(2x – 3)
6. y = 2x2 – 3x – 35
7. 7x2 + 2x = 5
8. f(x) = 2x2 + x – 1
9. y = 4x2 – 25
10. g(x) = x2 + 6x + 9
11. Write a polynomial equation that has solutions of -3 and 2.
12. Look at each example below. Identify the most efficient method to finding
the roots (square root, graphing, or factoring). Then, use that method to
determine the root.
Example
Method
f(x) = x2 - 2x – 15
f(x) = x2 – 9
y = x2 + 3x – 18
Review:
13. Solve the system of equations by graphing.
- 3x + 2y = 6
y = x +1
14. What is the slope of the line 2x - 7y = 19 ?
Root