Intermediate Algebra (11th edition)

332 CHAPTER 6 Factoring

Complete solution available
on the Video Resources on DVD

6.2 EXERCISES

1.Concept Check Which is nota valid way of starting the process of factoring the trino-

mial?

A. B.

C. D.

2.Concept Check Which is the completely factored form of?

A. B.

C. D.

3.Concept Check Which is nota factored form of?

A. B.

C. D.

4.Concept Check Which is the completely factored form of?

A. B.

C. D.

Factor each trinomial. See Examples 1–9.

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    44. 45.Concept Check When a student was given the polynomial to factor
        completely on a test, the student lost some credit when her answer was.
        She complained to her teacher that when we multiply , we get the orig-
        inal polynomial. WHAT WENT WRONG?Give the correct answer.
        46.When factoring the polynomial , Terry obtained ,
        while John got. Who is correct? Explain your answer.
    
    
    
    

Factor each trinomial. See Example 10.

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49. 31 m+p 22 - 71 m+p 2 - 20 52. 41 x-y 22 - 231 x-y 2 - 6

101 k+ 122 - 71 k+ 12 + 1 41 m- 522 - 41 m- 52 - 15

12 p^6 - 32 p^3 r+ 5 r^22 y^6 + 7 xy^3 + 6 x^2

14 x- 321 - x- 82

• 4 x^2 - 29 x+ 24 1 - 4 x+ 321 x+ 82

14 x+ 1021 x- 22

14 x+ 1021 x- 22

4 x^2 + 2 x- 20

12 p^3 - 12 p^2 + 3 p 45 t^3 + 60 t^2 + 20 t

13 y^3 + 39 y^2 - 52 y 4 p^3 + 24 p^2 - 64 p

6 a^3 + 12 a^2 - 90 a 3 m^4 + 6 m^3 - 72 m^2

2 x^3 y^3 - 48 x^2 y^4 + 288 xy^56 m^3 n^2 - 60 m^2 n^3 + 150 mn^4

• 11 x^3 + 110 x^2 - 264 x - 9 k^3 - 36 k^2 + 189 k

36 x^2 + 18 x- 4 - 15 a^2 - 70 a+ 120 - 12 a^2 - 10 a+ 42

6 x^2 z^2 + 5 xz- 4 8 m^2 n 2 - 10 mn+ 3 24 x^2 + 42 x+ 15

25 r^2 - 90 r+ 81 40 x^2 +xy+ 6 y^215 p^2 + 24 pq+ 8 q 2

15 a^2 - 22 ab+ 8 b^214 c^2 - 17 cd- 6 d 2 36 m^2 - 60 m+ 25

8 k^2 + 34 k+ 35 20 k^2 + 47 k+ 24 27 z^2 + 42 z- 5

• 6 m^2 - 13 m+ 15 - 15 y^2 + 17 y+ 18 10 x^2 + 3 x- 18

k^2 - 11 hk+ 28 h^2 x^2 y^2 + 12 xy+ 18 p^2 q^2 - 5 pq- 18

a^2 - 2 ab- 35 b^2 z^2 + 8 zw+ 15 w^2 a^2 - 9 ab+ 18 b^2

k^2 - 11 k+ 30 m^2 - 11 m+ 60 p^2 - 12 p- 27

y^2 + 7 y- 30 z^2 + 2 z- 24 p^2 + 15 p+ 56

41 x+ 221 x- 32 41 x- 221 x- 32

41 x- 221 x+ 32 41 x+ 221 x+ 32

4 x^2 - 4 x- 24

1 - x+ 1021 x- 62 - 1 x- 1021 x- 62

1 x- 1021 - x+ 62 1 - x- 1021 x+ 62

• x^2 + 16 x- 60

12 x^5 +x^421 x- 32 x^312 x^2 +x 21 x- 32

x^412 x+ 121 x- 32 x^412 x- 121 x+ 32

2 x^6 - 5 x^5 - 3 x^4

16 x 212 x 2 18 x 214 x 2

112 x 21 x 2 14 x 213 x 2

12 x^2 + 29 x+ 10