Factoring By Grouping (#1)

Choose the best factorization for each polynomial.

General Questions

a(x - 3) + 2(x - 3)

1.

(x + 3)(a + 2)
(x - 3)(a + 2)
(x + 3)(a - 2)

5x(x +2) + 7(x + 2)

2.

(4 - x)(5 + x)
(5x + 7)(x + 2)
(5x - 7)(x + 2)

x(x + 2) + 7(x + 2)

3.

(x + 2)(x + 9)
(x + 7)(x + 9)
(x + 7)(x + 2)

a(2a - 7) + 5(2a - 7)

4.

(a + 5)(2a - 7)
(a - 3)(a - 7)
(a + 1)(a - 5)

(3a + 2) + 6a(3a + 2)

5.

(1 + 6a)(2a + 2)
(1 + 6a)(3a + 2)
(6 + a)(2a + 2)

(m-3)-2m(m-3)

6.

(1-2m)(m-3)
(2+m)(23+m)
(4m-2)(2+m)

6b(a - 7) + (a - 7)

7.

(b - 7)(6a + 1)
6b(a - 7)
(a - 7)(6b + 1)

3r(r + 2) + (r + 2)

8.

(3r + 2)(r + 2)
(3r - 5)(r + 1)
(3r + 1)(r + 2)

y(2 - x) - (2 - x)

9.

(y - 1)(2 - x)
(2 + y)(3 + x)
(x - 2)(y + 1)

8a(a - b) - (a - b)

10.

(7a - 1)(a - b)
(8a - 1)(a - b)
(8a - 1)(b - a)

4(3s - t) + u(3s - t) - 2r(3s - t)

11.

(4 + u - 2r)(3s - t)
(4 + u)(2 + s)(8 - t)
(4 + u)(1 - 2r)(3s - t)

C Gulliksen