Quiz about MATEMATIKA PEMINATAN KELAS 11 MIA 2023

Question 1

Diketahui $$p\left(x\right)=x^3+5x^2-3x+10$$ dan $$q\left(x\right)=x^4-x^3+2x-6$$ . Hasil Penjumlahan p(x) + q(x) adalah....

Accepted Answer

$$x^4+5x^2-x+4$$

Answer

$$x^4+5x^3-x-4$$

Answer

$$x^4+2x^3+5x+4$$

Answer

$$x^4+2x^3-5x+4$$

Answer

$$x^4+2x^3-5x-4$$

Question 2

Diketahui $$f\left(x\right)=2x^4-2x^3+4x^2-5\ dan\ g\left(x\right)=x^4-x^3+5x^2-3x-8.$$ jika $$h\left(x\right)=f\left(x\right)-2g\left(x\right),\ maka\ nilai\ h\left(2\right)=\ ...$$

Accepted Answer

-1

Answer

-2

Answer

-3

Answer

-4

Answer

-5

Question 3

Jika Nilai Polinomial $$p\left(x\right)=x^4+3x^3+nx-7\ untuk\ x=1\ adalah\ -2\ nilai\ p\left(1\right)\ adalah$$

Accepted Answer

-2

Answer

-1

Answer

0

Answer

1

Answer

2

Question 4

Nilai Polinomial $$4x^2-2x^2+5x-18\ untuk\ x=-2\ adalah...$$

Accepted Answer

28

Answer

72

Answer

64

Answer

32

Answer

20

Question 5

Hasil Perkalian Polinomial $$5x^4-4x^2+12\ dan\ x^2+4\ adalah$$

Accepted Answer

$$5x^6+16x^4-4x^2+48$$

Answer

$$5x^6+16x^4-4x^2-48$$

Answer

$$5x^6-16x^4+4x^2+48$$

Answer

$$5x^6-16x^4-4x^2+48$$

Answer

$$5x^6-16x^4-4x^2-48$$

Question 6

Jika $$f\left(x\right)=x^4-2x^3-4x+3_{ }dan\ g\left(x\right)=2x^4-4x^3+7x^2+5x-8$$ hasil Operasi $$2f\left(x\right)-g\left(x\right)$$ adalah

Accepted Answer

$$-7x^2-13x+14$$

Answer

$$-7x^2-13x-14$$

Answer

$$-7x_{ }^2+13x+14$$

Answer

$$7x^2-13x+14$$

Answer

$$7x^2-13x-14$$

Question 7

Diketauhi Polinomial $$p\left(x\right)=4x^3-2x^2+1\ ;\ g\left(x\right)=x^4-nx^2+2.\ $$ jika $$r\left(x\right)=p\left(x\right)-q\left(x\right)\ dan\ r\left(2\right)=27,$$ maka nilai n = ....

Accepted Answer

7

Answer

2

Answer

3

Answer

5

Answer

10

Question 8

hasil Bagi dan sisa pembagian polinomial $$\left(3x^3+4x^2-2x+3\right)\ :\ \left(x+1\right)\ $$ adalah....

Accepted Answer

$$3x^2+x-3\ dan\ 6$$

Answer

$$3x^2-x-3\ dan\ -6$$

Answer

$$3x^2-x+3\ dan\ -6$$

Answer

$$3x^2-x+3\ dan\ 6$$

Answer

$$3x^2+x+3\ dan\ 6$$

Question 9

Jika $$h\left(x\right)$$ hasil dari pembagian Polinomial $$2x^3-4x^2-x+6$$ oleh $$x-2$$ hasil operasi $$2h\left(x\right)-3x+6$$ adalah....

Accepted Answer

$$4x^2-3x+4$$

Answer

$$4x^2-3x+1$$

Answer

$$4x^2-3x+2$$

Answer

$$4x^2-3x-2$$

Answer

$$4x^2-3x-4$$

Question 10

Jika $$2x^4-5x^3+3x^2-px+12$$ dibagi $$x-2$$ mempunyai sisa 4, maka nilai p adalah....

Accepted Answer

6

Answer

2

Answer

4

Answer

8

Answer

10

Question 11

Hasil bagi dan sisa pembagian $$\left(2x^3+5x^2-4x+5\right):\left(2x+1\right)$$ adalah....

Accepted Answer

$$x+2x-3\ dan\ 8$$

Answer

$$x^2-2x+3\ dan\ 8$$

Answer

$$x-2x-3\ dan\ 8$$

Answer

$$x+2x+3\ dan\ -8$$

Answer

$$x-2x+3\ dan\ -8$$

Question 12

$$6x^3+4x^2-15x+8=\left(6x^2-8x+1\right)\ h\left(x\right)+s\left(x\right).$$ maka $$h\left(x\right)\ dan\ s\left(x\right)\ berturut\ turut\ adalah....$$

Accepted Answer

$$2x+2\ dan\ 6$$

Answer

$$2x+2\ dan\ 5$$

Answer

$$2x-2\ dan\ 5$$

Answer

$$x+2\ dan\ 5$$

Answer

$$x-2\ dan\ 6$$

Question 13

Hasil Pembagian polinomial $$\left(8x^4+4x^3+2x^2-9x-6\right)$$ oleh $$\left(2x^2-3x+5\right)$$ adalah....

Accepted Answer

$$4x^2+8x+2$$

Answer

$$4x^2+6x+2$$

Answer

$$4x^2-6x+2$$

Answer

$$4x^2-8x-2$$

Answer

$$4x^2+8x-3$$

Question 14

Diketahui kesamaan polinomial:

$$3x^3-2x^2+x-6\equiv3x^3+ax^2+\left(2-b\right)x-6.\ Nilai\ a+b\ adalah....$$

Accepted Answer

-1

Answer

1

Answer

0

Answer

-2

Answer

-3

Question 15

Salah satu faktor Polinomial $$x^3+kx^2+x-3\ adalah\ x-1.\ $$ faktor yang lain adalah....

Accepted Answer

$$x^2+2x+3$$

Answer

$$x^2-x+3$$

Answer

$$x^2-x-3$$

Answer

$$x^2-2x+3$$

Answer

$$x^2+2x-3$$

Question 16

Perhatikan persamaan - persamaan polinomial berikut.

$$\left(i\right)x^3-4x^2+2x+3=0$$

$$\left(ii\right)x^3-2x^2-2x-3=0$$

$$\left(iii\right)x^3-3x^2-2x+5=0$$

persamaan polinomial yang memiliki salah satu akarnya x=3 adalah....

Accepted Answer

(i) dan (ii)

Answer

(i)

Answer

(ii)

Answer

(iii)

Answer

(ii) dan (iii)

Question 17

Akar - akar Persamaan Polinomial $$x^3-5x^2+2x+8=0$$ adalah....

Accepted Answer

-1,2 dan 4

Answer

-4,-1 dan 2

Answer

-2,-1 dan 4

Answer

-2,1 dan 4

Answer

1,2 dan 4

Question 18

akar - akar Persamaan $$2x^3-5x^2-4x+8=0\ adalah\ x_1,x_2,\ dan\ x_3.\ Nilai\ x_1x_2x_3=....$$

Accepted Answer

-4

Answer

-1

Answer

-2

Answer

-3

Answer

-5

Question 19

Jumlah akar - akar Persamaan Polinomial :

$$\left(x^2+4x+3\right)\left(x^2-9x+20\right)=0\ adalah....$$

Accepted Answer

5

Answer

2

Answer

4

Answer

6

Answer

7

Question 20

Diketahui akar - akar persamaan polinomial: $$3x^3+2x^2-8x-6=0,\ jumlah\ dari\ akar\ -\ akarnya\ adalah...$$

Accepted Answer

$$-\frac{8}{3}$$

Answer

$$-\frac{8}{5}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{2}$$

Answer

0

Question 21

Persamaan Lingkaran yang berpusat di (0,0) dan Berjari - jari $$2\ \ \sqrt[]{3}\ adalah$$

Accepted Answer

$$x+y=12$$

Answer

$$x^2+y^2=6$$

Answer

$$x+y=8$$

Answer

$$x+y=18$$

Answer

$$x+y=36$$

Question 22

Lingkaran yang berpusat di titik P pada gambar di samping menyinggung sumbu Y. Persamaan lingkaran tersebut adalah...

Accepted Answer

$$\left(x-10\right)^2+\left(y+6\right)^2=100$$

Answer

$$\left(x-10\right)^2+\left(y+6\right)^2=10$$

Answer

$$\left(x-10\right)^2+\left(y+6\right)^2=12$$

Answer

$$\left(x-10\right)^2+\left(y+6\right)^2=50$$

Answer

$$\left(x-10\right)^2-\left(y+6\right)^2=100$$

Question 23

Diketahui titik A(4, 9) dan titik B(4, 1). Persamaan lingkaran dengan diameter AB adalah ...

Accepted Answer

$$x^2+y^2-8x-10y+25=0$$

Answer

$$x+y-8x-10y+26=0$$

Answer

$$x+y-8x+10y+25=0$$

Answer

$$x+y-8x-10y+20=0$$

Answer

$$x+y-8x-10y+12=0$$

Question 24

Diketahui garis y = 2x + p menyinggung lingkaran $$x^2+y^2=20$$ Nilai p yang memenuhi adalah....

Accepted Answer

-10 atau 10

Answer

1 atau -1

Answer

2 atau -2

Answer

3 atau 5

Answer

4 atau 8

Question 25

Persamaan garis singgung lingkaran $$x^2+y^2=25\ dengan\ gradien\ -2\ adalah....$$

Accepted Answer

$$y=-2x\pm5\ \ \sqrt[\ ]{5}$$

Answer

$$y=-2x\pm5\ \ \sqrt[\ ]{4}$$

Answer

$$y=-2x\pm5\ \ \sqrt[\ ]{3}$$

Answer

$$y=-2x\pm5\ \ \sqrt[\ ]{6}$$

Answer

$$y=-2x\pm5\ \ \sqrt[\ ]{7}$$

Question 26

Persamaan garis singgung lingkaran :

$$x^2+y^2-2x+4y-4=0\ dengan\ gradien\ -\frac{4}{3}adalah....$$

Accepted Answer

$$4x+3y=-2\pm15$$

Answer

$$4x+3y=-2\pm10$$

Answer

$$4x+3y=-2\pm18$$

Answer

$$4x+3y=-2\pm19$$

Answer

$$4x+3y=-2\pm90$$

Question 27

Persamaan garis singgung lingkaran $$\left(x-3\right)^2+\left(y+5\right)=80\ yang\ sejajar\ dengan\ garis\ y-2x+5=0\ adalah....$$

Accepted Answer

$$y=2x-11\pm20$$

Answer

$$y=2x-11\pm22$$

Answer

$$y=2x-11\pm23$$

Answer

$$y=2x-11\pm24$$

Answer

$$y=2x-11\pm25$$

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