This document is a mathematics worksheet for 8th grade algebra covering factoring expressions. It contains 22 problems of varying difficulty ranging from easy single term factoring to harder multi-term expressions. The problems are grouped into three sections: Easy, Average, and Hard. For each problem, the factors of the expression are provided as the answer. No other context is given around the worksheet such as the purpose, learning objectives, or how it fits into the curriculum.

1. Mathematics 8 Worksheet Algebra 1st
Quarter Mr. Carlo Justino J. Luna
Republic of the Philippines | DEPARTMENT OF EDUCATION
Region III | Division of City Schools | West District
Tamarind St., Clarkview Subd., Malabanias, Angeles City
School Year 2018-2019
NAME: ________________________________________ SCORE: __________________
GRADE & SECTION: _____________________________ DATE: ____________________
1st Quarter Worksheet #6
Find the factors of each expression.
EASY
1. 8𝑎 + 10𝑎2
2. 6𝑛2
− 9𝑛
3. 16𝑝4
+ 4𝑝6
4. 25𝑚3
+ 5𝑚
5. 15𝑛3
+ 12𝑛
6. 20𝑥4
+ 5𝑛5
7. 15𝑦5
− 3𝑦2
8. 6 + 10𝑏
9. 6𝑏6
+ 10𝑏3
10.25𝑝 + 10
11.4𝑦2
+ 8𝑦
AVERAGE
12.32𝑎6
+ 8𝑎𝑏 − 80𝑏2
13.6𝑥5
𝑦 + 2𝑥𝑦3
− 6𝑦
14.20𝑎12
𝑏2
+ 6𝑎8
𝑏 − 20𝑎9
𝑏3
15.32𝑚𝑛2
− 48𝑚𝑛 + 24
16.24𝑝4
+24𝑝2
𝑞 − 27𝑞2
17.12𝑥3
− 15𝑥3
𝑦4
+ 15𝑦5
18.21𝑚3
𝑛9
+ 27𝑚4
𝑛2
+ 12𝑚3
𝑛
HARD
19.4𝑥5
𝑦 − 20𝑥4
𝑦𝑧 − 24𝑥3
𝑦3
+ 28𝑥3
𝑦𝑧
20.90𝑎8
𝑏7
𝑐 − 18𝑎9
𝑏5
+9𝑎7
𝑏5
𝑐 − 27𝑎6
𝑏5
21.55𝑚𝑛3
𝑝 + 5𝑚3
𝑛𝑝 + 15𝑚𝑛𝑝3
+ 25𝑚𝑛𝑝
22.18𝑝 + 60𝑚𝑝 + 72𝑝𝑞3
− 24𝑚𝑝3
𝑞3

2. Mathematics 8 Worksheet Algebra 1st
Quarter Mr. Carlo Justino J. Luna
Republic of the Philippines | DEPARTMENT OF EDUCATION
Region III | Division of City Schools | West District
Tamarind St., Clarkview Subd., Malabanias, Angeles City
School Year 2018-2019
NAME: ________________________________________ SCORE: __________________
GRADE & SECTION: _____________________________ DATE: ____________________
1st Quarter Worksheet #6
Find the factors of each expression.
EASY
1. 8𝑎 + 10𝑎2
= 2𝑎(4 + 5𝑎)
2. 6𝑛2
− 9𝑛
= 3𝑛(2𝑛 − 3)
3. 16𝑝4
+ 4𝑝6
= 4𝑝4
(4 + 𝑝2
)
4. 25𝑚3
+ 5𝑚
= 5𝑚(5𝑚2
+ 1)
5. 15𝑛3
+ 12𝑛
= 3𝑛(5𝑛2
+ 4)
6. 20𝑥4
+ 5𝑥5
= 5𝑥4
(4 + 𝑥)
7. 15𝑦5
− 3𝑦2
= 3𝑦2
(5𝑦3
− 1)
8. 6 + 10𝑏
= 2(3 + 5𝑏)
9. 6𝑏6
+ 10𝑏3
= 2𝑏3
(3𝑏3
+ 5)
10.25𝑝 + 10
= 5(5𝑝 + 2)
11.4𝑦2
+ 8𝑦
= 4𝑦(𝑦 + 2)
AVERAGE
12.32𝑎6
+ 8𝑎𝑏 − 80𝑏2
= 8(4𝑎6
+ 𝑎𝑏 − 10𝑏2
)
13.6𝑥5
𝑦 + 2𝑥𝑦3
− 6𝑦
= 2𝑦(3𝑥5
+ 𝑥𝑦2
− 3)
14.20𝑎12
𝑏2
+ 6𝑎8
𝑏 − 20𝑎9
𝑏3
= 2𝑎8
𝑏(10𝑎4
𝑏 + 3 − 10𝑎𝑏2
)
15.32𝑚𝑛2
− 48𝑚𝑛 + 24
= 8(4𝑚𝑛2
− 6𝑚𝑛 + 3)
16.24𝑝4
+24𝑝2
𝑞 − 27𝑞2
= 3(8𝑝4
+ 8𝑝2
𝑞 − 9𝑞2
)
17.12𝑥3
− 15𝑥3
𝑦4
+ 15𝑦5
= 3(4𝑥3
− 5𝑥3
𝑦4
+ 5𝑦5
)
18.21𝑚3
𝑛9
+ 27𝑚4
𝑛2
+ 12𝑚3
𝑛
= 3𝑚3
𝑛(7𝑛8
+ 9𝑚𝑛 + 4)
HARD
19.4𝑥5
𝑦 − 20𝑥4
𝑦𝑧 − 24𝑥3
𝑦3
+ 28𝑥3
𝑦𝑧
= 4𝑥3
𝑦(𝑥2
− 5𝑥𝑧 − 6𝑦2
+ 7𝑧)
20.90𝑎8
𝑏7
𝑐 − 18𝑎9
𝑏5
+9𝑎7
𝑏5
𝑐 − 27𝑎6
𝑏5
= 9𝑎6
𝑏5
(10𝑎2
𝑏2
𝑐 − 2𝑎3
+ 𝑎𝑐 − 3)
21.55𝑚𝑛3
𝑝 + 5𝑚3
𝑛𝑝 + 15𝑚𝑛𝑝3
+ 25𝑚𝑛𝑝
= 5𝑚𝑛𝑝(11𝑛2
+ 𝑚2
+ 3𝑝2
+ 5)
22.18𝑝 + 60𝑚𝑝 + 72𝑝𝑞3
− 24𝑚𝑝3
𝑞3
= 6𝑝(3 + 10𝑚 + 12𝑞3
− 4𝑚𝑝2
𝑞3
)