Table of Contents

2. (a) 5x2 +13x+9
(x+2)(x+3)
(b) 2(2x2 +3x+5)
(x+2)(x−5)
(c) 2(x2 +5x+5)
(x+2)(x+4)
3. (a) 4, 2
(b) −5, −3
4. (a) 3±√ 5
2
Section 7
1. (a) (x+4)(x−3)
(b)
x+2
4
3(x−4)
Exercises 2.6
(c) −4, −3
(d) −11, 2
(b) 3
2 ± √ 92
4
(d)
2(4x+17)
(x+2)(x+3)(x+5)
(e) 3x+17
(x+2)(x+3)(x−5)
(f) −1
x+3
(g) 0
(e) 4, 3
(c) x(2x+3)
5(x+5)
(d) x(3x+2)
5(2x+1)
(f) −2, 3
2
(g) 7, − 1
2
(h) 4, − 2
3
(c) − 1
3 ± √ 28
6
1. (a) x 2 − 4 (b) 4x 2 − 16y 2
2. (a) (12x − y)(12x + y)
(b) (4a − 3b)(4a + 3b)
(c) (x + 5)(x + 2)
(d) (b + 7)(b + 2)
(e) (x + 7) 2
(f) (x + 3)(x − 2)
(g) 2x(x − 3)(x + 8)
3. (a) [x − ( −5−√ 13
2
( 2x+5+√13)( 2
2x+5−√13 2
)][x − ( −5+√13 )] or
2
) or
1
4 (2x + 5 + √ 13)(2x + 5 − √ 13)
(b) (2x + 1)(x − 1)
(c) A+2
3
(d) 2(x+2)
2x+3
Page 95
(h) −x2 −6x+9
2(x−3)
(i) −x(x−1)
(x+1)(x+3)
(j) −2(x−1)
(x+6)
(e)
(h) (x + 3)(2x + 1)
(i) (b + 3)(5b + 2)
(j) 2(3y + 1) 2
(k) 6(x + 1)(2x − 1)
(l) (7a + 5)(a − 2)
(m) (x + 2)(1 − x)
(n) (2x + 1)(2 − x)
(e) x(x+2)
x+3
(f)
x(x+3)
(2x+1)(x+1)
(g) 4x 2 −3x+9
(x+3) 2 (x−3)
(h) x = −3 or x = 1
(i) −2, 1
7
(j) 11, 7
(d) 13
4 ± √ 113
4
(x−4)(x+2)
(2x−1)(x+7)