MAT007 Factoring polynomial
Name___________________________________
CRN#:_______________________
Show ALL Work
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.
1. x2 - 16x + 256
1)
2. 49x2 + 81
2)
3. x2 - 12x + 144
3)
4. 30m 6 + 48m 4 + 24m 2
4)
5. x2 - x - 35
5)
6. x3 + 4x 2 - 9x - 36
6)
7. 18a 4b - 8b3
7)
8. 64 - (x + 5y)2
8)
9. 4k3 m + 12k2 m2 + 9km3
9)
10. -48a2 - 124a - 80
10)
11. x4 + 24x2 - 25
11)
1
Show ALL Work
12. x2 + 34x + 35
12)
13. x4 + 3x 3 + 8x + 24
13)
14. x2 - 16x + 256
14)
15. x4 - 7x 2 - 144
15)
Factor by grouping.
16. 8x2 + x - 30
16)
If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
17. -40a2 + 90a - 45
17)
Factor by grouping.
18. 9x2 - 6xt - 8t2
18)
Factor using the trial and error method.
19. 8x2 - 6x - 9
19)
20. 9x2 + 18x + 8
20)
Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.
21. 64 - (x + 2y)2
21)
22. x2 - x - 45
22)
23. 16x2 + 25
23)
2
Show ALL Work
24. 50a 4b - 32b3
24)
25. x3 + 5x 2 - 4x - 20
25)
3
Answer Key
Testname: FACTOR_POLYNOMIAL_MAT007
1. Prime
2. Prime
3. Prime
4. 6m 2 (5m 4 + 8m 2 + 4)
5. Prime
6. (x + 3)(x - 3)(x + 4)
7. 2b(3a2 + 2b)(3a2 - 2b)
8. (8 + x + 5y)(8 - x - 5y)
9. km(2k + 3m)2
10. -4(4a + 5)(3a + 4)
11. (x + 1)(x - 1)(x2 + 25)
12. Prime
13. (x + 3)(x + 2)(x2 - 2x + 4)
14. Prime
15. (x + 4)(x - 4)(x2 + 9)
16. (8x - 15)(x + 2)
17. -5(2a - 3)(4a - 3)
18. (3x + 2t)(3x - 4t)
19. (2x - 3)(4x + 3)
20. (3x + 2)(3x + 4)
21. (8 + x + 2y)(8 - x - 2y)
22. Prime
23. Prime
24. 2b(5a2 + 4b)(5a2 - 4b)
25. (x + 2)(x - 2)(x + 5)
4