## MATH 114N Week 1 Homework Section 13-4 | Answers

__MATH 114N Week 1 Homework Section 13.4__ (Version 1)

__MATH 114N Week 1 Homework Section 13.4__(Version 1)

**1. Question:** Decide which is the correct factored form of the given polynomial.

7x^{2} -13x – 2

**2. Question:** Decide whether (9k + m)(k + 7m) is the correct factored form of the given polynomial.

**3. Question:** Complete the factoring.

3a^{2} + 9a – 12 = 3 ( ) ( )

__ __

3a^{2} + 9a – 12 = 3 (a – 1) (a + 4)

**4. Question:** Factor the trinomial completely.

2w^{2} + 9w + 9

**5. Question:** Factor the trinomial completely.

5u^{2} + 28u + 15

**6. Question:** Factor the trinomial completely.

91m^{2} + m – 2

**7. Question:** Factor the trinomial completely.

14m^{2} – 29m + 12

**8. Question: **Factor the trinomial completely.

56v^{2} – 17v – 3

**9. Question:** Factor.

25b^{2} + 29b + 9

**10. Question:** Factor the trinomial completely.

-24m^{2}q – 2mq + 35q

## STATUS

**11. Question: **Factor the trinomial completely.

20y^{4} – 68y^{3} + 24y^{2}

**12. Question:** If a trinomial has a negative coefficient for the second-degree term, it may be easier to factor by first factoring out -1. Use this method to factor the following trinomial.

-w^{2} – 4w + 77

**13. Question:** If a trinomial has a negative coefficient for the squared term, it is usually easier to factor by first factoring out the common factor -1. Use this method to factor the following trinomial.

-4x^{2} – x + 5

**14. Question:** If a trinomial has a negative coefficient for the squared term, it is usually easier to factor by first factoring out the common factor -1. Use this method to factor the following trinomial.

-4a^{2} – 17ab – 4b^{2}

__MATH 114N Week 1 Homework Section 13.4__ (Version 2)

__MATH 114N Week 1 Homework Section 13.4__(Version 2)

**1. Question: **Decide which is the correct factored form of the given polynomial.

7x^{2} – 19x – 6

**2. Question: **Decide whether (4k + m)(k + 2m) or (4k + m)(k + 2m) is the correct factored form of the given polynomial.

4k^{2} + 9mk + 2m^{2}

**3. Question: **Complete the factoring.

4a^{2} + 4ab – 35b^{2 }= (2a + 7b)( )

**4. Question: **Complete the factoring.

__2a ^{2} + 6a – 8 = 2( )( ) __

2a^{2} + 6a – 8 = 2(a – 1)(a + 4)

**5. Question: **Factor the trinomial completely.

2r^{2} + 11r + 5

**6. Question: **Factor the trinomial completely.

5x^{2} + 28x + 15

**7. Question: **Factor the trinomial completely.

15n^{2} + n – 2

**8. Question: **Factor the trinomial completely.

10n^{2} – 43n + 28

**9. Question: **Factor the trinomial completely.

30s^{2} – 19s – 63

**10. Question:**

49w^{2} + 41w + 9

**11. Question: **Factor the trinomial completely.

-9m^{2}q – 6mq + 35q

**12. Question: **Factor the trinomial completely.

33t^{4} – 78t^{3} + 24t^{2}

**13. Question: **If a trinomial has a negative coefficient for the second-degree term, it may be easier to factor by first factoring out -1. Use this method to factor the following trinomial.

-v^{2} – 2v + 63

**14. Question: **If a trinomial has a negative coefficient for the squared term, it is usually easier to factor by first factoring out the common factor -1. Use this method to factor the following trinomial.

-8x^{2} – x + 9

**15. Question: **If a trinomial has a negative coefficient for the squared term, it is usually easier to factor by first factoring out the common factor -1. Use this method to factor the following trinomial.

-8a^{2} – 65ab – 8b^{2}