College Algebra Questions

Student ID: 21772952

Exam: 050354RR - POLYNOMIALS AND POLYNOMIAL FUNCTIONS

When you have completed your exam and reviewed your answers, click Submit Exam. Answers will not be recorded until you hit Submit Exam. If you need to exit before completing the exam, click Cancel Exam.

Questions 1 to 20: Select the best answer to each question. Note that a question and its answers may be split across a page break, so be sure that you have seen the entire question and all the answers before choosing an answer.

1. Completely factor the expression y2 + 12y + 35. A. Prime

B. (y − 7)(y − 5) C. (y + 7)(y + 5)

D. (y + 7)(y − 5)

2. Solve the equation 3z3 − 300z = 0. A. z = 0, z = 10, and z = –10

B. Prime

C. z = –4 and z = 1

D. z = 0

3. Completely factor the expression 4q2 + 27r4. A. 4q(q + 27r)

B. 31q2r4

C. 27r4(4q2 + 1)

D. Prime

4. Solve the equation x2 + 4x − 45 = 0. A. x = 15 and x = 30

B. x = 9 and x = –5

C. No solution

D. x = –9 and x = 5

5. Completely factor the expression 16x4 − 81y4. A. Prime

B. 0

C. (4x2 − 9y2)(4x2 + 9y2)

D. (2x + 3y)(2x − 3y)(4x2 + 9y2)

6. Completely factor the expression 7(x − y) − z(x − y). A. (x − y)2(7 − z)3

B. Prime

C. (x − y)(7 − z) D. (x − y)(7 + z)

7. Find the product of (x − 2y)2. A. x2 + 4y2

B. x2 − 4xy + 4y2

C. x2 + 2xy + 4y2

D. x2 + 4xy + 4y2

8. Solve the equation

A.

B.

C.

D.

9. Find the product of (2a + 3b)(2a − 3b). A. 4a2 − 9b2

B. 4a2 − 6b2

C. 4a2 + 12ab − 9b2

D. 2a2 − 3b2

10. Completely factor the expression 2a3 − 128. A. 2(a3 − 64)

B. 2(a − 4)3

C. 2(a − 4)(a2 + 4a + 16) D. Prime

11. Find the value of the expression 2xy − x2y when x = 2 and y = 3. A. 24

B. 0

C. 6

D. –24

12. Completely factor the expression a2 + 4b − ab − 4a.

A. Prime

B. (a − b)(a − 4) C. (a + b)(a − 4) D. (a + b)(a + 4)

13. Simplify the expression –2(4y2 + 3z3 + 5) + 3(2y2 − 5z3 + 3). A. –14y2z3 + 6y2 − 1

B. –21z3 − 2y2 − 1

C. 9z3 − 14y2 + 19

D. 21z3 + 2y2 + 1

14. Completely factor the expression 48u4v4 − 18u2v2 − 3u8v5. A. Nonfactorable

B. 3u2v2(16u2v2 − 6 − u6v3)

C. u2v2(48u2v2 − 18 − 3u6v3)

D. 3(16u4v4 − 6u2v2 − u8v5)

15. Completely factor the expression 16t3 − 50t2 + 36t. A. 2t(8t + 9)(t + 2)

B. Prime

C. 2t(8t − 9)(t − 2) D. 2t(8t − 25t + 18)

16. Graph the polynomial function f(x) = x3 − 1.

A.

B.

C.

D.

17. Find the product of –3a3b(2a0b4 − 4a2b3) A. –6b5 + 14a5b4

B. 12a5b4 − 6a3b5

C. –6b4 + 12a6b3

D. 14a5b4 − 6b5

End of exam

18. Simplify the expression 2ab4 − 3a2b2 − ab4 + a2b2. A. ab4 − 2a2b2

B. 2a2b8 − 3a4b4

C. 0

D. a2b8 − a2b8 − 2a4b4

19. Completely factor the expression r2 − 2r + 1. A. r(r − 2) + 1 B. (r − 1)(r − 1) C. (r + 1)(r − 1) D. Prime

20. Perform the indicated operations on the expression below.

(5a3 + 3a - 2) - (4a3 + a2 + 5)

A. 3a6 − 7

B. a3 − a2 + 3a − 7

C. 20a3 + 3a2 − 10

D. a3 + a2 + 3