Name________________________
Date ________
HW: Solving Quadratic Equations
I. REVIEW
1. Simplify 3 12  3
1
2. Simplify
4
3
2 x2  4 x 2
4. Simplify 2 6  24
3. Simplify 3y 2  y 3
II. PRACTICE – Factor the following polynomials.
5) 4x2 + 2
6) x2 - 16
x4 - 16
7)
x2 – x - 72
10)
x2 – 36
8)
x2 – 2x + 1
9)
11)
4x2 - 81
12)
x2 + 8x +16
13)
x2 + 144
14)
x2 – 9x - 22
15)
3x2 – 8x + 5
16)
10x2 + 3x - 1
III. MORE PRACTICE – Solve the quadratic equations using the square root method.
Show your work.
17)
x2 + 3 = 0
18)
(x – 3)2 = 16
19)
2(x + 2)2 = 8
IV. MORE PRACTICE – Solve the quadratic equations using factoring. Show your work.
20)
5x2 + 20x = 0
21)
3x2 – 7x = 0
22)
23)
2x2 + 13x – 7 = 0
24)
x2 = 4x + 5
25)
26) 3x2 + x – 2 = 0
27) 4x2 – 25 = 0
x2 + x = 12
x2 – 9x + 14 = 0
28) 3x2 + 11x = - 6