Review Sect 8.2, 8.5 – 8.8, 11.1
Name:
Date:
Sect 8.2 Factoring out the greatest common monomial factor
1. 30b2 + 45b – 25
2. 12a2b5 + 156a2b3
3. w5 + 4w4 + 10w3 + 40w2
Sect 8.5 Factoring x2 + bx + c
4. g2 – 8g – 48
5. a2 – 13ab + 42b2
6. x6 + 23x3 + 120
7. The area of a rectangular coffee table is given by the trinomial y2 – 14y – 32. What are the expressions
for the table’s length and width?
Sect 8.6 Factoring ax2 + bx + c
8. 2x2 – 13x – 7
9. 10x2 + 31x – 14
Sect 8.7 Factoring special cases
10. 81m2 – 25
11. 4x2 – 16x + 16
12. 9x2 + 42x + 49
13. How can you tell that x2 – 19x + 90 is not a perfect square? Explain in a complete sentence.
14. Write an expression that shows the factored form of a difference of two squares.
Explain in a complete sentence how you know that your expression is a difference of two squares.
Sect 8.8 Factoring completely
15. 3b2 + 6b + 3
16. 4z4 – 4
17. -10m2 + 40m + 210
18. 2x4 – 50x2 + 288
Sect 11.1 Simplifying Rational Expressions – Simplify each expression. State any excluded values.
19.
2x  8
2
x  2x  8
20.
a 2  3a  2
3a  3