Math 101 Intermediate Algebra
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Chapter 6 Homework

Try to do enough problems from a section until you're
comfortable doing problems of the kind found in that section.

Should you have trouble with the problems listed here, any of the odd numbered problems around these would be good to try--the answers are in the back of the book and you have a student solutions manual that shows you how to do them.

Section 1
4, 8, 12, 16, 18, 20, 22, 24, 26, 32, 34, 36, 40, 42, 44, 46, 52, 54, 56, 58, 60, 62, 64, 70

Section 2
2, 6, 8, 10, 14, 18, 20, 22, 26, 30, 32, 34, 42, 44, 48, 50, 66, 68, 74, 78

Section 3
2, 6, 10, 14, 16, 20, 24, 28, 30, 32, 34, 38, 42, 44, 46, 48, 54, 58, 60, 62, 66, 68, 70, 74

Section 4
2 - 18 even, 22, 26, 28, 32, 36, 44, 48, 52, 60, 62, 64

Section 5
2, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 36, 38, 40, 42, 44, 50, 56, 60, 62, 64

Section 1
Num Answer Num Answer
4 2(8x2 - 6x - 3) 40 (5x + 3y)(7x - 8y)
8 x3(-16x2 + 38x - 9) 42 (x - 6y)(3x + 4y)
12 8xy2(5x + 2y2 + 8y) 44 (4x - 3y)(3x + y)
16 4x3(6x3 + 2x - y) 46 a(2a2 - 5)(a - 1)
18 (5x + 3)(2x - 5) 52 x(6x2 - 8x - 1)
20 (2x + 1)(4x + 1) 54 -4x2yz3(20x3y2z - 9)
22 (x - 3)(2x + 3) 56 (2x - 3)(2x + 3)
24 (3r + 2)(r - 4) 58 2(2x - 1)(2x - 5)
26 2x2(2x + 7)(3x3 + 2x - 1) 60 xy(48x + 16y + 33)
32 (x + 3)(x - 2) 62 (3x - 2)(7x + 1)
34 (x + 4)(x + 1) 64 (x - 3y)(x + 2y)
36 (x + 3)(2x - 1) 70 (b - 4)(3x2 - 2x + 5)

Section 2
Num Answer Num Answer
2 (p - 5)(p + 2) 32 (4a - 5)(3a + 1)
6 (x - 32)(x - 2) 34 10(5b - 2)(2b - 1)
8 (-a + 15)(a - 3) 42 (6x - 5)(5x + 4)
10 (x - y)(x - 3y) 44 (9x - 8)(4x + 1)
14 4(x + 4)(x - 1) 48 (x2 - 5)(x2 + 2)
18 (p - 1)(5p - 3) 50 (x2 - 5)(x2 + 3)
20 cannot be factored 66 (3z2 + 1)(z2 - 5)
22 (5y - 1)(y - 3) 68 (x - 1)(x - 6)(x + 5)
26 x(3x + 4)(2x - 1) 74 (a) x2 + 4x + 3
(b) (x + 1)(x + 1)(x + 3)
30 2(3w + 4z)(3w - z) 78 (a) 4x2 + 17x - 15
(b) (2x - 5)(4x - 3)(x + 5)

Section 3
Num Answer Num Answer
2 (x + 3)(x - 3) 42 (y + 5)(y2 - 5y + 25)
6 (x + 6y)(x - 6y) 44 (x - 2a)(x2 + 2ax + 4a2)
10 (xy + 1)(xy - 1) 46 (w - 6)(w2 + 6w + 36)
14 (10 + x + y)(10 - x - y) 48 5(x + 2y)(x2 - 2xy + 4y2)
16 4x(x + 3) 54 (x - 1)(x2 - 8x + 19)
20 (5 - t)2 58 -2n(3m2 + n2)
24 (3y + z)2 60 (a2 + 2b2)(a2 - 2b2)
28 cannot be factored 62 (7 + 8xy)(7 - 8xy)
30 (x + 4)2 66 2(a - 6)2
32 (w + 1)2 68 (a2 + 6)2
34 (x - 1)(7 - x) 70 (2y - 5x2)(4y2 + 10x2y + 25x4)
38 (x2 - 3)2 74 (3x - y + 2)(3x - y - 2)

Section 4
Num Answer Num Answer
2 2(x - 4)2 26 3(x - 5)2
4 2x2y2(3x + 5y + 4) 28 4(y2 + 3x3)(y2 - 3x3)
6 3x(x + 2)(x - 6) 32 (b2 + 1)2
8 4(x - y)(x + y) 36
(2y - 1
2		  )(4y2 + y + 1
4		  )
10 6x2y2(z + 2)(z - 2) 44 4(2x + 3)(5x - 1)
12 2y2(x - 5)(x + 3) 48 (x - 4)2
14 3(2x + 1)(x - 3) 52 (x + 8 + 10y)(x + 8 - 10y)
16 4(x + 3)(x2 - 3x + 9) 60 3x2y(x + 3)(2x - 1)
18 (x - 2)(x + 2)(x2 + 4) 62 (x + y)2(x - y)2
22 3x2(2x - 1)2 64 (2x2 + 3)2

Section 5
Num Answer Num Answer
2 0, 5 28 1, 11
6
0,  - 3
2		 ,  5
30 0, -8
8 3 36 5, -5
10 0, -4 38
- 3
2		 ,   3
2
12 -1, -5 40 0, 4, -4
14 -3 42 -1, -4
16
2
3		 ,  -1
44 -2, 3
18 -6, -1 50 -3, 6
20 0, 6, -3 56 2, 3
22 -2, 5 60
0,   5
4		 ,  2
24
3
4		 ,  - 5
2
62 9, 11
26
2,  - 5
6
64 5, 7