Polynomial Functions Exam

Questions1to20:Selectthebestanswertoeachquestion.Notethataquestionanditsanswersmaybesplitacrossapagebreak,sobesurethatyouhaveseentheentirequestionandalltheanswersbeforechoosingananswer.

1.                  Completelyfactortheexpressiony2+12y+35.

A.(y+7)(y−5)

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

C.Prime

D.(y−7)(y−5)

2.                  Completelyfactortheexpression16x4 −81y4.

A.                  0

B.(2x+3y)(2x−3y)(4x2 +9y2)

C.(4x2 −9y2)(4x2 +9y2)

D.Prime

3.                  Simplifytheexpression2ab4−3a2b2−ab4+a2b2.

A.2a2b8−3a4b4

B.                   ab4−2a2b2

C.                  0

D.a2b8−a2b8−2a4b4

4.                  Findtheproductof(x−2y)2.

A.                  x2 +2xy+4y2

B.                   x2 +4xy+4y2

C.                  x2 +4y2

D.                  x2−4xy+4y2

5.                  Solvetheequation3z3 −300z=0.

A.                  z=0

B.                   z=–4andz=1

C.z=0,z=10,andz=–10

D.Prime

6.                  Findtheproductof–3a3b(2a0b4−4a2b3)

A.–6b5 +14a5b4 B.12a5b4−6a3b5C.–6b4+12a6b3 D.14a5b4−6b5

7.                  Completelyfactortheexpressionr2 −2r+1.

A.(r+1)(r−1)

B.(r−1)(r−1)

C.r(r−2)+1

D.Prime

8.                  Completelyfactortheexpression16t3 −50t2 +36t.

A.2t(8t−25t +18)

B.2t(8t−9)(t−2)

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

D.Prime

9.                  Performtheindicatedoperationsontheexpressionbelow.(5a3+3a-2)-(4a3+a2+5)

A.3a6−7

B.a3−a2+3a−7

C.a3+a2+3

D.20a3+3a2 −10

10.             Completelyfactortheexpression4q2 +27r4.

A.4q(q+27r)

B.Prime

C.27r4(4q2+1)

D.31q2r4

11.             Completelyfactortheexpression7(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.             Findthevalueoftheexpression2xy−x2ywhenx=2andy=3.

A.                  0

B.                   24

C.                  6

D.–24

13.             Completelyfactortheexpression48u4v4 −18u2v2−3u8v5.

A.3(16u4v4−6u2v2 −u8v5)

B. Nonfactorable

C.u2v2(48u2v2 −18−3u6v3)

D.3u2v2(16u2v2 −6−u6v3)

14.             Solvetheequationx2+4x−45=0.

A.                  x=–9andx=5

B.                   x=15andx=30

C.                  x=9andx=–5

D.                  Nosolution

15.             Solvetheequation 

A. 

B. 

C. 

D. 

16.             Findtheproductof(2a+3b)(2a−3b).

A.4a2+12ab−9b2

B.4a2−6b2C.2a2−3b2D.4a2−9b2

17.             Completelyfactortheexpression2a3 −128.

A.2(a−4)3

B.2(a−4)(a2+4a+16)

C.2(a3−64)

D.Prime

18.             Completelyfactortheexpressiona2+4b−ab−4a.

A.(a−b)(a−4)

B.Prime

C.(a+b)(a−4)

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

19.             Simplifytheexpression–2(4y2+3z3 +5)+3(2y2 −5z3 +3).

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

D.9z3−14y2 +19

20.             Graphthepolynomialfunctionf(x)=x3−1.

A.  

B.