Exam: 050292RR - Polynomials and Polynomial Functions
1. Simplify the expression 2ab4 − 3a2b2 − ab4 + a2b2.
A. 0
B. ab4 − 2a2b2
C. a2b8 − a2b8 − 2a4b4
D. 2a2b8 − 3a4b4
2. Completely factor the expression y2 + 12y + 35.
A. Prime
B. (y − 7)(y − 5)
C. (y + 7)(y + 5)
D. (y + 7)(y − 5)
3. Completely factor the expression a2 + 4b − ab − 4a.
A. (a + b)(a + 4)
B. (a − b)(a − 4)
C. (a + b)(a − 4)
D. Prime
4. Find the product of (x − 2y)2.
A. x2 + 4y2
B. x2 − 4xy + 4y2
C. x2 + 4xy + 4y2
D. x2 + 2xy + 4y2
5. Solve the equation x2 + 4x − 45 = 0.
A. x = –9 and x = 5
B. x = 15 and x = 30
C. x = 9 and x = –5
D. No solution
6. Graph the polynomial function f(x) = x3 − 1.
A. Correct
B.
C.
D.
7. Perform the indicated operations on the expression below.
(5a3 + 3a - 2) - (4a3 + a2 + 5)
A. 20a3 + 3a2 − 10
B. 3a6 − 7
C. a3 − a2 + 3a − 7
D. a3 + a2 + 3
8. Completely factor the expression r2 − 2r + 1.
A. Prime
B. r(r − 2) + 1
C. (r − 1)(r − 1)
D. (r + 1)(r − 1)
9. Simplify the expression –2(4y2 + 3z3 + 5) + 3(2y2 − 5z3 + 3).
A. 21z3 + 2y2 + 1
B. –21z3 − 2y2 − 1
C. –14y2z3 + 6y2 − 1
D. 9z3 − 14y2 + 19
10. Completely factor the expression 7(x − y) − z(x − y).
A. Prime
B. (x − y)2(7 − z)3
C. (x − y)(7 − z)
D. (x − y)(7 + z)
11. Find the product of –3a3b(2a0b4 − 4a2b3)
A. –6b5 + 14a5b4
B. 14a5b4 − 6b5
C. –6b4 + 12a6b3
D. 12a5b4 − 6a3b5
12. Find the value of the expression 2xy − x2y when x = 2 and y = 3.
A. –24
B. 6
C. 0
D. 24
13. Completely factor the expression 48u4v4 − 18u2v2 − 3u8v5.
A. 3u2v2(16u2v2 − 6 − u6v3)
B. u2v2(48u2v2 − 18 − 3u6v3)
C. Nonfactorable
D. 3(16u4v4 − 6u2v2 − u8v5)
14. Find the product of (2a + 3b)(2a − 3b).
A. 2a2 − 3b2
B. 4a2 − 6b2
C. 4a2 + 12ab − 9b2
D. 4a2 − 9b2
15. Solve the equation 3z3 − 300z = 0.
A. Prime
B. z = 0
C. z = –4 and z = 1
D. z = 0, z = 10, and z = –10
16. Completely factor the expression 4q2 + 27r4.
A. 27r4(4q2 + 1)
B. Prime
C. 4q(q + 27r)
D. 31q2r4
17. Completely factor the expression 16x4 − 81y4.
A. (2x + 3y)(2x − 3y)(4x2 + 9y2)
B. Prime
C. 0
D. (4x2 − 9y2)(4x2 + 9y2)
End of exam
18. Completely factor the expression 2a3 − 128.
A. Prime
B. 2(a − 4)(a2 + 4a + 16)
C. 2(a3 − 64)
D. 2(a − 4)3
19. Solve the equation
A.
B. Correct
C.
D.
20. Completely factor the expression 16t3 − 50t2 + 36t.
A. 2t(8t + 9)(t + 2)
B. 2t(8t − 9)(t − 2)
C. 2t(8t − 25t + 18)
D. Prime
1. Simplify the expression 2ab4 − 3a2b2 − ab4 + a2b2.
A. 0
B. ab4 − 2a2b2
C. a2b8 − a2b8 − 2a4b4
D. 2a2b8 − 3a4b4
2. Completely factor the expression y2 + 12y + 35.
A. Prime
B. (y − 7)(y − 5)
C. (y + 7)(y + 5)
D. (y + 7)(y − 5)
3. Completely factor the expression a2 + 4b − ab − 4a.
A. (a + b)(a + 4)
B. (a − b)(a − 4)
C. (a + b)(a − 4)
D. Prime
4. Find the product of (x − 2y)2.
A. x2 + 4y2
B. x2 − 4xy + 4y2
C. x2 + 4xy + 4y2
D. x2 + 2xy + 4y2
5. Solve the equation x2 + 4x − 45 = 0.
A. x = –9 and x = 5
B. x = 15 and x = 30
C. x = 9 and x = –5
D. No solution
6. Graph the polynomial function f(x) = x3 − 1.
A. Correct
B.
C.
D.
7. Perform the indicated operations on the expression below.
(5a3 + 3a - 2) - (4a3 + a2 + 5)
A. 20a3 + 3a2 − 10
B. 3a6 − 7
C. a3 − a2 + 3a − 7
D. a3 + a2 + 3
8. Completely factor the expression r2 − 2r + 1.
A. Prime
B. r(r − 2) + 1
C. (r − 1)(r − 1)
D. (r + 1)(r − 1)
9. Simplify the expression –2(4y2 + 3z3 + 5) + 3(2y2 − 5z3 + 3).
A. 21z3 + 2y2 + 1
B. –21z3 − 2y2 − 1
C. –14y2z3 + 6y2 − 1
D. 9z3 − 14y2 + 19
10. Completely factor the expression 7(x − y) − z(x − y).
A. Prime
B. (x − y)2(7 − z)3
C. (x − y)(7 − z)
D. (x − y)(7 + z)
11. Find the product of –3a3b(2a0b4 − 4a2b3)
A. –6b5 + 14a5b4
B. 14a5b4 − 6b5
C. –6b4 + 12a6b3
D. 12a5b4 − 6a3b5
12. Find the value of the expression 2xy − x2y when x = 2 and y = 3.
A. –24
B. 6
C. 0
D. 24
13. Completely factor the expression 48u4v4 − 18u2v2 − 3u8v5.
A. 3u2v2(16u2v2 − 6 − u6v3)
B. u2v2(48u2v2 − 18 − 3u6v3)
C. Nonfactorable
D. 3(16u4v4 − 6u2v2 − u8v5)
14. Find the product of (2a + 3b)(2a − 3b).
A. 2a2 − 3b2
B. 4a2 − 6b2
C. 4a2 + 12ab − 9b2
D. 4a2 − 9b2
15. Solve the equation 3z3 − 300z = 0.
A. Prime
B. z = 0
C. z = –4 and z = 1
D. z = 0, z = 10, and z = –10
16. Completely factor the expression 4q2 + 27r4.
A. 27r4(4q2 + 1)
B. Prime
C. 4q(q + 27r)
D. 31q2r4
17. Completely factor the expression 16x4 − 81y4.
A. (2x + 3y)(2x − 3y)(4x2 + 9y2)
B. Prime
C. 0
D. (4x2 − 9y2)(4x2 + 9y2)
End of exam
18. Completely factor the expression 2a3 − 128.
A. Prime
B. 2(a − 4)(a2 + 4a + 16)
C. 2(a3 − 64)
D. 2(a − 4)3
19. Solve the equation
A.
B. Correct
C.
D.
20. Completely factor the expression 16t3 − 50t2 + 36t.
A. 2t(8t + 9)(t + 2)
B. 2t(8t − 9)(t − 2)
C. 2t(8t − 25t + 18)
D. Prime
