Polynomial functions 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. (y + 7)(y − 5)

B. (y + 7)(y + 5)

C. Prime

D. (y − 7)(y − 5)

2. Completely factor the expression 16x4 − 81y4.

A. 0

B. (2x + 3y)(2x − 3y)(4x2 + 9y2)

C. (4x2 − 9y2)(4x2 + 9y2)

D. Prime

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

A. 2a2b8 − 3a4b4

B. ab4 − 2a2b2

C. 0

D. a2b8 − a2b8 − 2a4b4

4. Find the product of (x − 2y)2.

A. x2 + 2xy + 4y2

B. x2 + 4xy + 4y2

C. x2 + 4y2

D. x2 − 4xy + 4y2

5. Solve the equation 3z3 − 300z = 0.

A. z = 0

B. z = –4 and z = 1

C. z = 0, z = 10, and z = –10

D. Prime

6. Find the product of –3a3b(2a0b4 − 4a2b3)

A. –6b5 + 14a5b4 B. 12a5b4 − 6a3b5 C. –6b4 + 12a6b3 D. 14a5b4 − 6b5

7. Completely factor the expression r2 − 2r + 1.

A. (r + 1)(r − 1)

B. (r − 1)(r − 1)

C. r(r − 2) + 1

D. Prime

8. Completely factor the expression 16t3 − 50t2 + 36t.

A. 2t(8t − 25t + 18)

B. 2t(8t − 9)(t − 2)

C. 2t(8t + 9)(t + 2)

D. Prime

9. Perform the indicated operations on the expression below. (5a3 + 3a - 2) - (4a3 + a2 + 5)

A. 3a6 − 7

B. a3 − a2 + 3a − 7

C. a3 + a2 + 3

D. 20a3 + 3a2 − 10

10. Completely factor the expression 4q2 + 27r4.

A. 4q(q + 27r)

B. Prime

C. 27r4(4q2 + 1)

D. 31q2r4

11. Completely factor the expression 7(x − y) − z(x − y).

A. (x − y)(7 + z)

B. (x − y)(7 − z)

C. Prime

D. (x − y)2(7 − z)3

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

A. 0

B. 24

C. 6

D. –24

13. Completely factor the expression 48u4v4 − 18u2v2 − 3u8v5.

A. 3(16u4v4 − 6u2v2 − u8v5)

B. Nonfactorable

C. u2v2(48u2v2 − 18 − 3u6v3)

D. 3u2v2(16u2v2 − 6 − u6v3)

14. 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

15. Solve the equation

A.

B.

C.

D.

16. Find the product of (2a + 3b)(2a − 3b).

A. 4a2 + 12ab − 9b2

B. 4a2 − 6b2 C. 2a2 − 3b2 D. 4a2 − 9b2

17. Completely factor the expression 2a3 − 128.

A. 2(a − 4)3

B. 2(a − 4)(a2 + 4a + 16)

C. 2(a3 − 64)

D. Prime

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

A. (a − b)(a − 4)

B. Prime

C. (a + b)(a − 4)

D. (a + b)(a + 4)

19. Simplify the expression –2(4y2 + 3z3 + 5) + 3(2y2 − 5z3 + 3).

A. –21z3 − 2y2 − 1 B. –14y2z3 + 6y2 − 1 C. 21z3 + 2y2 + 1

D. 9z3 − 14y2 + 19

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

A.

y

c.

y '

• ./.' '\

x

D. / I)

I' - ,,,.. 1

I

'\1,-.·'= )

End of exam

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

�

To�

h�

�

l'�

�

x�

�

�

�

�

f�

�

'1• •• 0�

�

�

I�

�

�

�

�

'�

�

�

�

�

�

�

�

�

�

�

�

�

�