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

(MATH 114N Week 1 Homework Section 13-4)

MATH 114N Week 1 Homework Section 13.4 (Version  1)

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

7x² -13x – 2

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

3. Question: Complete the factoring.

3a² + 9a – 12 = 3 (     ) (     )          ­­­­­

3a² + 9a – 12 = 3 (a – 1) (a + 4)

4. Question: Factor the trinomial completely.

2w² + 9w + 9

5. Question: Factor the trinomial completely.

5u²   + 28u + 15

6. Question: Factor the trinomial completely.

91m² + m – 2

7. Question: Factor the trinomial completely.

14m² – 29m + 12

8. Question: Factor the trinomial completely.

56v² – 17v – 3

9. Question: Factor.

25b² + 29b + 9

10. Question: Factor the trinomial completely.

-24m²q – 2mq + 35q

11. Question: Factor the trinomial completely.

20y⁴ – 68y³ + 24y²

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.

-w² – 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.

-4x² – 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.

-4a² – 17ab – 4b²

MATH 114N Week 1 Homework Section 13.4 (Version  2)

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

7x² – 19x – 6

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

4k² + 9mk + 2m²

3. Question: Complete the factoring.

4a² + 4ab – 35b² = (2a + 7b)(    )

4. Question: Complete the factoring.

2a² + 6a – 8 = 2(     )(     )       

2a² + 6a – 8 = 2(a – 1)(a + 4)

5. Question: Factor the trinomial completely.

2r² + 11r + 5

6. Question: Factor the trinomial completely.

5x² + 28x + 15

7. Question: Factor the trinomial completely.

15n² + n – 2

8. Question: Factor the trinomial completely.

10n² – 43n + 28

9. Question: Factor the trinomial completely.

30s² – 19s – 63

10. Question:

49w² + 41w + 9

11. Question: Factor the trinomial completely.

-9m²q – 6mq + 35q

12. Question: Factor the trinomial completely.

33t⁴ – 78t³ + 24t²

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.

-v² – 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.

-8x² – 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.

-8a² – 65ab – 8b²