Algebra 3-4
Factoring Day 1
Factor using GCF
1. 6x2 – 2x
Name______________________________
2. x2 – 7x
Factor using product/sum
6. x2 + x – 30
7. x2 – 2x – 99
3. 12x2 – 8x
4. 20x2 + 25x
5. 27x2 – 6x
8. x2 – 6x – 27
9. x2 + 14x + 33
10. x2 + 12x + 36
Factor using “bottoms up’
11. 2x2 – x – 3
12. 3x2 + 29x – 10
13. 6x2 – 5x – 4
13. 12x2 – 8x + 1
14. 2x2 – 11x – 40
15. 5x2 + 17x – 12
Factor using difference of squares
16. x2 – 36
17. x2 – 169
18. 36x2 – 25
19. 81x2 – 16y2
20. A baseball is hit with an initial velocity of 80 feet per second. Ignoring the height of the baseball player, (a) how
long does it take for the ball to hit the ground? (Use h(t) = -16t2 + vot). (b) What is the domain on this problem?
21. A cannonball is shot with an initial velocity of 55 feet per second. Ignoring the height of the cannon, (a) how long
does it take for the cannon to hit the ground? (Use h(t) = -16t2 + vot). (b) What is the domain on this problem?
SOLVE the following equations (you have to determine which method to use….)
22. x2 – 3x = 10
23. 6x2 + 11x – 2 = 0
24. x2 = 100
25. 8x2 – 14x = - 3
26. 6x2 = 7x
27. X2 = 6x – 8
Review 2.1-2.4
28. Given the following function, fill in the blanks and graph the function.
1
𝑦 = − 2 𝑥 2 + 3𝑥 + 2
y
a) x-intercept(s): ____________________________
b) y-intercept(s): ____________________________
c) Vertex: ____________
Domain: ____________________
29. Find the average rate of change
Where x = 1 and x = 2
Where x = 2 and x = 4
Which is greater?
Range:____________________
x