REVIEW EXERCISES
CHAPTER 6
6.1 Factor out the greatest common factor, or factor by grouping.
1. 2.
3. 4.
6.2 Factor completely.
5. 6. 7.
8. 9. 10.
11. 12. 13.
14. 15. 16.
6.3
17.Concept Check To begin factoring what are the possible first terms of
the two binomial factors if we consider only positive integer coefficients?
18.Concept Check What is the first step you would use to factorFactor completely.
- 10 z^2 - 3 z- 1 23. 8 v^2 + 17 v- 21 24. 24 x^5 - 20 x^4 + 4 x^3
2 k^2 - 5 k+ 2 3 r^2 + 11 r- 4 6 r^2 - 5 r- 62 z^3 + 9 z^2 - 5 z?6 r^2 - 5 r-6,3 r^5 - 6 r^4 s- 45 r^3 s^29 x^4 y- 9 x^3 y- 54 x^2 y 2 x^7 + 2 x^6 y- 12 x^5 y^28 p^3 - 24 p^2 - 80 p 3 x^4 + 30 x^3 + 48 x^2 p^7 - p^6 q- 2 p^5 q^2r^2 - r- 56 r^2 - 4 rs- 96 s^2 p^2 + 2 pq- 120 q^2x^2 + 5 x+ 6 y^2 - 13 y+ 40 q^2 + 6 q- 272 xy- 8 y+ 3 x- 12 6 y^2 + 9 y+ 4 xy+ 6 x7 t+ 14 60 z^3 + 30 zCHAPTER 6 Review Exercises 413
25.- 6 x^2 + 3 x+ 30 26. 10 r^3 s+ 17 r^2 s^2 + 6 rs^3 27. 48 x^4 y+ 4 x^3 y^2 - 4 x^2 y^3
28.Concept Check On a quiz, a student factored by grouping as follows.His answerHe thought his answer was correct, since it checked by multiplication. WHAT WENT
WRONG?Give the correct factored form.6.4
29.Concept Check Which one of the following is the difference of squares?
A. B. C. D.
30.Concept Check Which one of the following is a perfect square trinomial?
A. B. C. D.Factor completely.6.5 Solve each equation, and check your solutions.
43. 44.
45.x 12 x- 52 = 0 46.z^2 + 4 z+ 3 = 014 t+ 321 t- 12 = 0 1 x+ 721 x- 421 x+ 32 = 0343 x^3 - 64 1000 - 27 x^6 x^6 - y^69 t^2 - 42 t+ 49 m^3 + 1000 125 k^3 + 64 x^3144 p^2 - 36 q^2 x^2 + 100 r^2 - 12 r+ 36n^2 - 49 25 b^2 - 121 49 y^2 - 25 w^2x^2 +x+ 1 y^2 - 4 y+ 9 4 x^2 + 10 x+ 25 x^2 - 20 x+ 10032 x^2 - 1 4 x^2 y^2 - 25 z^2 x^2 + 36 25 y^3 - 1= 4 x 14 x- 12 - 514 x- 12= 16 x^2 - 4 x- 20 x+ 516 x^2 - 24 x+ 516 x^2 - 24 x+ 5