11.7 Factoring with a coefficient  1
Name __________________________
Learning Objective: A.SSE.2 I will rewrite a trinomial with a coefficient NOT 1 into factored form
Pastime
ANSWERS:
(2x + 5)(x – 3)
(2x – 3)(3x – 2)
(5x + 3)(2x – 1)
(10x – 3)(x – 1)
(2x + 3)(x – 5)
(3x – 2)(2x + 1)
(3x – 1)(4x + 3)
(2x – 5)(6x + 1)
(3x + 4)(2x + 1)
(3x – 1)(4x – 3)
Write the factor for each problem by SHOWING ALL YOUR WORK!
1) 6x2 + 11x + 4
2) 2x2 – x – 15
3) 12x2 – 13x + 3
4) 10x2 – 13x + 3
5) 10x2 + x – 3
6) 6x2 – 13x + 6
7) 12x2 + 5x – 3
8) 2x2 – 7x – 15
9) 6x2 – x – 2
Factor each expression completely.
10. 18x – 27y
11. 24x3 + 36x2
12. 3x3 + 12x2 + 5x + 20
13. x2 – 12x + 27
14. x2 + 11x + 28
15. x2 + 7x – 30
Solve each equation by factoring first.
16. 5n2 + 15n = 0
17. 27x2 + 18x = 0
18. 40x2 – 5x – 48x + 6 = 0
19. x2 – 3x – 18 = 0
20. x2 + 9x + 20 = 0
21. 2x2 + 8x – 90 = 0
Answers: 1. (3x + 4)(2x + 1)
9. (3x – 2)(2x + 1)
3. (4x – 3)(3x – 1)
11. 12x2(2x + 3)
17. 9x(3x + 2) = 0, x = 0, x = 
3
2
13.
5. (5x + 3)(2x – 1)
(x – 9)(x – 3)
15. (x + 10)(x – 3)
19. (x – 6)(x + 3) = 0, x = 6, x = –3
21. 2(x2 + 4x – 45), 2(x + 9)(x – 5), x = –9, x = 5
7. (4x + 3)(3x – 1)