(MATH 114N Week 1 Homework Section 13-2)
1. Question: Factor by grouping.
4z2 + 12z – az – 3a
4z2 + 12z – az – 3a = (z + 3)(4z – a)
2. Question: Which is the correct factored form of x2 – 13x + 42?
3. Question: What polynomial can be factored as (a + 9)(a + 3)?
4. Question: List all the pairs of integers with a product of 48. Then find the pair whose sum is -16.
5. Question: List all the pairs of integers with a product of 30. Then find the pair whose sum is 13.
6. Question: Complete the factoring.
x2 + 16x + 48
7. Question: Complete the factoring.
x2 + 11x + 28
8. Question: Factor the trinomial.
b2 + 11b + 30
9. Question: Factor the trinomial.
v2 + 2v – 35
10. Question: Factor the trinomial.
a2 + 4a – 32
11. Question: Factor the trinomial.
c2 + 6c + 72
12. Question: Factor the trinomial.
a2 – 7a + 6
13. Question: Factor the trinomial.
b2 – 16b + 63
14. Question:
b2 – 3b – 40
15. Question: Factor the trinomial completely.
6x2 + 30x – 84
16. Question: Complete the factoring.
2x3 + 6x2 + 4x