Question

Ini gimana please no 1,2,3??? besok udh dikumpul.

Answer 1

Verified answer

Jawab:

suku banyak

hasil bagi dan sisa hasil bagi

nilai fungsi = sisa

f(x) = s(x)

Penjelasan dengan langkah-langkah:

1.  f(x) = x⁴ - 4x³ - 2x + 1

dibagi (x² - x - 2) = ( x - 2 )(x + 1)  , misal sisa  s(x)= ax + b

x - 2 = 0 , x= 2

x + 1= 0 , x = - 1

.

s(2)= f(2) --> 2a + b = 2⁴ - 3 . 2³ - 2 . 2 + 1

2a + b = -11

s(-1)  = f(-1) --> -a + b = (-1)⁴ - 3 (-1)³ - 2(-1) + 1

-a + b = 7

..

2a + b = -11

-a + b = 7 ....(-)

3a= - 18

a= - 6  

-a + b =- 7 --> b = 7 + a = 7 - 6 = 1

S(x) = ax + b

s(x)=  -6x + 1

2) f(x) =  2x⁴ + ax³ - 3x² + 5x + b

di bagi (x - 1) sisa  11 --> f(1) = 11

dibagi (x + 1) sisa - 1 --> f(-1) = -1

f(1) = 11

2 + a - 3 + 5 + b = 11

a + b =  7

f(-1) = -1

2 - a  - 3 - 5 + b = -1

-a + b = 5

.

a + b = 7

-a + b = 5 ...(-)

2a = 2 --> a= 1

a + b = 7 --> b = 7- a = 6

nilai  2a + b = 2(1) + 6 = 8

3) f(x) = 2x³ + ax² + b + 2

dibagi (x + 1) sisa  6  --> f(-1) = 6

dibagi (x -2) sisa 24 --> f(2) = 24

.

f(-1) = 6

2(-1) + a(1) + b + 2 = 6

a + b = 6

f(2) = 24

2(8) + a(4) + b + 2 = 24

4a + b = 6

a+ b = 6

4a+ b= 6 ....(-)

-3a = 0

a= 0 , b = 6

nilai  2a - b = 2(0) - 6 = - 6

a + b = 6

4a+ b =

Answer 2

Jawab:

Suku banyak hasil bagi dan sisa hasil bagi nilai fungsi=sisa

f(x)=s(x)