Math 2B/3A Ms. Sheppard-Brick 617.596.4133 http://lps.lexingtonma.org/Page/2434 Name: Date: 10 Chapter 3 Quiz 1 Review – Answers to Practice Problems 1. a. 9 ! + 30 + 19 b. 3 ! − 13 2. a. = −6 ! − 2 ! + 2 + 4 b. −6 c. 3 d. = −3 ! + 3 ! − 1 e. = 6 ! + 2 ! f. −2 g. () is a binomial and () is a trinomial 3. a. Answers vary, () must have degree 3. b. Answers vary, () must have degree 3. c. = 3 ! − 4 − 6 d. −4 e. −6 4. Answers vary, possible answers are given a. − 4 b. ! + 3 + 1 c. 4 ! d. ! + 2 ! 5. a. 3 − 4 2 − 7 b. 2 + 1 − 1 c. 4 ! (3 − 1) d. 5 + 3 − 4 6. a. − 7 + 1 b. + 7 − 5 c. ( + 6)( + 12) d. − 8 − 3 e. They are all monic trinomials with relatively small constant terms. 7. a. 7 + 8 7 − 8 b. + 4 + 5 + 4 − 5 = + 9 − 1 c. (11 + 4)(11 − 4) d. (9 ! + 10)(9 ! − 10) e. They are binomials where both terms are prefect squares and the second term is being subtracted. 8. a. 2 + 1 3 − 5 b. ( − 6)(5 − 3) c. (4 + 3)( − 1) d. (2 − 3)(3 + 4) e. They are non-monic trinomials 9. a. ( − 14)( + 8) b. + 10 + 11 c. ( − 11)( − 9) d. sorry, this one isn’t nice, skip it! e. They are monic trinomials with a relatively large constant term. 10. a. Sums and Products + 3 + 9 b. Completing the Square − 15 + 7 c. GCF Factoring ! (2 − 5) d. Sums and Products (5 − 1)( + 3) e. Diff. of Squares (5 ! + 12)(5 ! − 12) f. Sums and Products − 9 ( − 3) g. Difference of Squares (2 + 3)(2 − 3) h. Completing the Square ( − 16)( − 12) i. Splitting the Middle Term (3 − 4)( + 7) j. GCF Factoring 4 ! (4 ! − + 2) 11. a. 5( + 4)( − 1) b. (3 + 2)(4 − 5) c. 4 ! + 1 2 + 1 2 − 1 d. 2 − 7 − 7 or 2( − 7) ! e. 3 5 + 3 5 − 3 f. + 12 − 2 g. 3 − 5 + 3 h. 4(2 + 1)( − 3) 12. a. = −2, −7 b. = −8, −5 c. = −15, 11 d. = ± ! ! e. = −2 ± 3 f. = −2 ± ! ! 13. a. one Real solution b. no Real solutions c. 2 Real solutions d. 2 Real solutions