19. 20. 21.
22. 23. 24.
25. 26. 27.
28. 29. 30.
31.Concept Check When a student was directed to factor from Exercise 30com-
pletely, his teacher did not give him full credit for the answer
.
The student argued that since his answer does indeed give when multiplied out,
he should be given full credit. WHAT WENT WRONG?Give the correct factored form.
32.Concept Check The binomial is a sum of squares that canbe factored. How
is this binomial factored? When can the sum of squares be factored?
Concept Check Find the value of the indicated variable.
33.Find bso that factors as.
34.Find cso that factors as.
35.Find aso that factors as.
36.Find bso that factors as.
Factor each trinomial completely. See Examples 4 and 5.
Factor each binomial completely. Use your answers from Exercises 3 and 4as necessary. See
Examples 6 and 7.
- 81.x^9 +y^9 82.x^9 - y^9
27 m^6 + 8 n^31000 r^6 + 27 s^3
8 x^3 - 125 y^627 t^3 - 64 s^6
125 t^3 + 8 s^327 r^3 + 1000 s^3
27 a^3 + 64 b^3125 m^3 + 8 p^3
8 p^3 + 729 q^364 x^3 + 125 y^3
2 x^3 - 16 y^327 w^3 - 216 z^3
y^3 - 8 x^3 w^3 - 216 z^3
81 x^3 + 3 5 x^3 + 40 128 y^3 + 54
27 x^3 - 64 64 y^3 - 27 6 p^3 + 6
b^3 + 1 k^3 + 1000 p^3 + 512
a^3 - 1 m^3 - 8 m^3 + 8
25 z^4 + 5 z^3 +z^24 x^4 + 2 x^3 +x^2
4 k^3 - 4 k^2 + 9 k 9 r^3 - 6 r^2 + 16 r
50 h^2 - 40 hy+ 8 y^218 x^2 - 48 xy+ 32 y^2
64 x^2 + 48 xy+ 9 y^29 t^2 + 24 tr+ 16 r^2
49 x^2 - 28 xy+ 4 y^24 z^2 - 12 zw+ 9 w^2
16 x^2 - 40 x+ 25 36 y^2 - 60 y+ 25
2 x^2 + 24 x+ 72 3 y^2 + 48 y+ 192
x^2 - 8 x+ 16 x^2 - 10 x+ 25
w^2 + 2 w+ 1 p^2 + 4 p+ 4
100 a^2 +ba+ 9 110 a+ 322
ay^2 - 12 y+ 4 13 y- 222
4 m^2 - 12 m+c 12 m- 322
x^2 +bx+ 25 1 x+ 522
4 x^2 + 36
k^4 - 81
1 k^2 + 921 k^2 - 92
k^4 - 81
y^4 - 10,000 p^4 - 256 k^4 - 81
p^4 - 49 r^4 - 25 x^4 - 1
49 m^2 - 100 p^2100 x^2 + 49 81 w^2 + 16
196 p^2 - 225 361 q^2 - 400 16 r^2 - 25 a^2
388 CHAPTER 6 Factoring and Applications
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