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Polinomial UK2 MAN 2 Banjarnegara

Total questions: 15

Worksheet time: 43mins

Name
Class
Date
1.

Nilai polinomial  2x3x2+8x+52x^3-x^2+8x+5  untuk  x=2x=2  adalah....

a)

24

b)

28

c)

33

d)

44

e)

49

2.

Jika  p(x)=x4+2x35x2+x4p\left(x\right)=x^4+2x^3-5x^2+x-4  nilai  p(3)p\left(-3\right)  adalah ....

a)

25

b)

2

c)

-2

d)

-14

e)

-25

3.

Nilai polinomial  p(x)=2x4x36x2+5x4p\left(x\right)=2x^4-x^3-6x^2+5x-4  untuk  x=12x=\frac{1}{2}  adalah  p(12)=p\left(\frac{1}{2}\right)= ....

a)

5

b)

3

c)

-3

d)

-5

e)

-8

4.

Jika polinomial  f(x)=2x34x2+7x5f\left(x\right)=2x^3-4x^2+7x-5 ,nilai  f(3)+3f(1)f\left(3\right)+3f\left(-1\right)  adalah....

a)

20

b)

16

c)

-16

d)

-20

e)

-28

5.

Polinomial berikut yang bernilai  172-172  untuk  x=4x=-4  adalah....

a)

 x3+3x26x+8x^3+3x^2-6x+8  

b)

 x3+3x2+6x8x^3+3x^2+6x-8  

c)

 x4x3+3x22x8x^4-x^3+3x^2-2x-8  

d)

 x42x315x2+6x12x^4-2x^3-15x^2+6x-12  

e)

 x4+4x310x2+6x+12x^4+4x^3-10x^2+6x+12  

6.

Diketahui polinomial  p(x)=x42x3+4x28p\left(x\right)=x^4-2x^3+4x^2-8  dan  q(x)=2x4x35x2+3x+12q\left(x\right)=2x^4-x^3-5x^2+3x+12 .Jika  r(x)=p(x)q(x)r\left(x\right)=p\left(x\right)-q\left(x\right) ,nilai  r(2)r\left(2\right)  adalah....

a)

30

b)

14

c)

-12

d)

-14

e)

-30

7.

Jika nilai polinomial  x4+ax35x2x+4x^4+ax^3-5x^2-x+4  untuk x=1x=-1  adalah  7-7 ,nilai a adalah....

a)

11

b)

9

c)

8

d)

-7

e)

-14

8.

Jika nilai polinomial  p(x)=x4+4x3+nx5p\left(x\right)=x^4+4x^3+nx-5  untuk  x=2x=-2  adalah -29, nilai p(1) adalah.... 

a)

14

b)

5

c)

4

d)

-4

e)

-14

9.

Jika  f(x)=5x3+bx2+2f\left(x\right)=5x^3+bx^2+2  dan  3f(3)+2=3053f\left(3\right)+2=305 , nilai b adalah....

a)

-4

b)

-2

c)

0

d)

4

e)

5

10.

Diketahui nilai polinomial  p(x)p\left(x\right) dan  q(x)q\left(x\right)  untuk  x=6x=6  berturut-turut adalah  4-4  dan  88 . Jika  r(x)=3p(x)q(x)r\left(x\right)=3p\left(x\right)-q\left(x\right) ,nilai  r(6)=r\left(6\right)= ....

a)

-20

b)

-12

c)

-4

d)

4

e)

20

11.

Diketahui polinomial a, b, dan c dengan  a(4)=6,b(4)=2a\left(4\right)=-6,b\left(4\right)=-2  dan  c(4)=13c\left(4\right)=13 . Nilai polinomial  p(x)=a(x)×b(x)c(x)p\left(x\right)=a\left(x\right)\times b\left(x\right)-c\left(x\right)  untuk x=4x=4  adalah....

a)

-25

b)

-1

c)

1

d)

66

e)

90

12.

Diketahui  f(x)=3x+4f\left(x\right)=3x+4  dan  g(x)=2x23x+1g\left(x\right)=2x^2-3x+1 .Jika  h(x)=(f(x)+g(x))×f(x)h\left(x\right)=\left(f\left(x\right)+g\left(x\right)\right)\times f\left(x\right) ,nilai  h(1)=h\left(-1\right)= ....

a)

6

b)

7

c)

8

d)

12

e)

14

13.

Diketahui polinomial  f(x)=x2x+4f\left(x\right)=x^2-x+4  dan  g(x)=3x22x+cg\left(x\right)=3x^2-2x+c . Jika  f(x)f\left(x\right)  dan  g(x)g\left(x\right)  bernila sama untuk  x=3x=-3 , nilai  g(4)g\left(4\right)  adalah....

a)

-17

b)

-8

c)

6

d)

15

e)

23

14.

Diketahui polinomial  p(x)=4x32x2+1p\left(x\right)=4x^3-2x^2+1  dan  q(x)=x4nx2+2q\left(x\right)=x^4-nx^2+2 . Jika  r(x)=p(x)q(x)r\left(x\right)=p\left(x\right)-q\left(x\right)  dan  r(2)=39r\left(2\right)=39 , nilai n adalah ....

a)

8

b)

12

c)

15

d)

18

e)

20

15.

Diket polinomial  p(x),q(x),p\left(x\right),q\left(x\right),  dan  r(x)r\left(x\right)  dengan  p(x)=3q(x)2r(x)p\left(x\right)=3q\left(x\right)-2r\left(x\right) .Jika  p(5)=4p\left(-5\right)=4  dan  q(5)=3q\left(-5\right)=-3 ,nilai  r(5)r\left(-5\right)  adalah....

a)

26

b)

6,5

c)

-6,5

d)

-13

e)

-26