11.
Dengan teorema sisa tentukan sisa pembagian F(x)
= 3x3 – 4x2 + 3x + 7 dibagi oleh (1 - x)
22.
Tentukan nilai p jika diketahui f(x) = 6x3
+ 7x2 + px – 24 habis di bagi (2x - 3)
33.
Tentukan sisa pembagian f(x) = 4x4 +
5x2 – 3x + 10
ggunakan 2 cara untuk menentukan sisa pembagian di atas
Peny :
BalasHapusF(x) => 3x3 – 4x2 + 3x + 7
1 – x => -x = -1
X = 1
>>Cara subtitusi
X = 1 => S = 3(1)3 – 4(1)2 + 3(1) + 7
=3 – 4 + 3 + 7
=(-1) + 3 + 7
=9
>>Cara Horner
F(x) = 3x3 – 4x2 + 3x +7
X=1 3 -4 3 7
3 `-1 2
3 -1 2 9
2.>>Cara subtitusi
2x – 3 => 2x = 3/2
S = F (3/2) = 6x3 + 7x2 +px – 24
=6(3/2)3 + 7(3/2) + p(3/2) - 24
= 6 + 7 + p – 24
= 13 + p – 24
P=24 – 13
=11
>>Cara horner
X= 3/2 6 7 11 -24
9 24 52,5
6 16 35 28,5
Peny :
BalasHapusF(x) => 3x3 – 4x2 + 3x + 7
1 – x => -x = -1
X = 1
>>Cara subtitusi
X = 1 => S = 3(1)3 – 4(1)2 + 3(1) + 7
=3 – 4 + 3 + 7
=(-1) + 3 + 7
=9
>>Cara Horner
F(x) = 3x3 – 4x2 + 3x +7
X=1 3 -4 3 7
3 `-1 2
3 -1 2 9
2.>>Cara subtitusi
2x – 3 => 2x = 3/2
S = F (3/2) = 6x3 + 7x2 +px – 24
=6(3/2)3 + 7(3/2) + p(3/2) - 24
= 6 + 7 + p – 24
= 13 + p – 24
P=24 – 13
=11
>>Cara horner
X= 3/2 6 7 11 -24
9 24 52,5
6 16 35 28,5
Peny :
BalasHapusF(x) => 3x3 – 4x2 + 3x + 7
1 – x => -x = -1
X = 1
>>Cara subtitusi
X = 1 => S = 3(1)3 – 4(1)2 + 3(1) + 7
=3 – 4 + 3 + 7
=(-1) + 3 + 7
=9
>>Cara Horner
F(x) = 3x3 – 4x2 + 3x +7
X=1 3 -4 3 7
3 `-1 2
3 -1 2 9
2.>>Cara subtitusi
2x – 3 => 2x = 3/2
S = F (3/2) = 6x3 + 7x2 +px – 24
=6(3/2)3 + 7(3/2) + p(3/2) - 24
= 6 + 7 + p – 24
= 13 + p – 24
P=24 – 13
=11
>>Cara horner
X= 3/2 6 7 11 -24
9 24 52,5
6 16 35 28,5
Peny :
BalasHapusF(x) => 3x3 – 4x2 + 3x + 7
1 – x => -x = -1
X = 1
>>Cara subtitusi
X = 1 => S = 3(1)3 – 4(1)2 + 3(1) + 7
=3 – 4 + 3 + 7
=(-1) + 3 + 7
=9
>>Cara Horner
F(x) = 3x3 – 4x2 + 3x +7
X=1 3 -4 3 7
3 `-1 2
3 -1 2 9
2.>>Cara subtitusi
2x – 3 => 2x = 3/2
S = F (3/2) = 6x3 + 7x2 +px – 24
=6(3/2)3 + 7(3/2) + p(3/2) - 24
= 6 + 7 + p – 24
= 13 + p – 24
P=24 – 13
=11
>>Cara horner
X= 3/2 6 7 11 -24
9 24 52,5
6 16 35 28,5
Peny :
BalasHapusF(x) => 3x3 – 4x2 + 3x + 7
1 – x => -x = -1
X = 1
>>Cara subtitusi
X = 1 => S = 3(1)3 – 4(1)2 + 3(1) + 7
=3 – 4 + 3 + 7
=(-1) + 3 + 7
=9
>>Cara Horner
F(x) = 3x3 – 4x2 + 3x +7
X=1 3 -4 3 7
3 `-1 2
3 -1 2 9
2.>>Cara subtitusi
2x – 3 => 2x = 3/2
S = F (3/2) = 6x3 + 7x2 +px – 24
=6(3/2)3 + 7(3/2) + p(3/2) - 24
= 6 + 7 + p – 24
= 13 + p – 24
P=24 – 13
=11
>>Cara horner
X= 3/2 6 7 11 -24
9 24 52,5
6 16 35 28,5
Nama : Chicilia makitika
BalasHapusF(x) =) 3x3-4x2+3x+7
1-x=)-x=-1
X=1
=) Cara subtitusi
X=1=) S =3(1)3-4(1)2+3(1)+7
= 3-4+3+7
= (-1)+3+7
= 2+7
= 9
=) Cara horner
F(x) =3x3-4x2+3x+7
X=1 3 -4 3 7
3 -1 2
3 -1 2 (9
=) Cara subtitusi
2) 2x-3=) 2x= (3/2)
S = f (3/2) =6x3+7x2+px-24
=6 (2/3)3+7 (3/2)2+P (3/2)-24
=6 (27/8)+7 (9/4)+P(3/2)-24
=6+7+P-24
=13+P-24
P=24-13
P=11
=(162/8)+(63/4)+(33/2)-24
=81/4+63/4+33/2-24
=144/4+33/2-24/1
=144+66-96/4
=144/4=28,5
=) Cara horner
X=3/2 6 7 11 -24
9 24 52,5
6 16 35 (28,5
Nama : Chicilia makitika
BalasHapusF(x) =) 3x3-4x2+3x+7
1-x=)-x=-1
X=1
=) Cara subtitusi
X=1=) S =3(1)3-4(1)2+3(1)+7
= 3-4+3+7
= (-1)+3+7
= 2+7
= 9
=) Cara horner
F(x) =3x3-4x2+3x+7
X=1 3 -4 3 7
3 -1 2
3 -1 2 (9
=) Cara subtitusi
2) 2x-3=) 2x= (3/2)
S = f (3/2) =6x3+7x2+px-24
=6 (2/3)3+7 (3/2)2+P (3/2)-24
=6 (27/8)+7 (9/4)+P(3/2)-24
=6+7+P-24
=13+P-24
P=24-13
P=11
=(162/8)+(63/4)+(33/2)-24
=81/4+63/4+33/2-24
=144/4+33/2-24/1
=144+66-96/4
=144/4=28,5
=) Cara horner
X=3/2 6 7 11 -24
9 24 52,5
6 16 35 (28,5