بِسْـــمِ اللَّهِ الرَّحْمَــنِ الرَّحِيْمِ
Nomor 1:
f(x) = x³ + 3x² - x + 5
f(12) = 2³ + 3(2)² - 2 + 5
= 8 + 3 × 4 - 2 + 5
= 8 + 12 - 2 + 5
= 20 - 2 + 5
= 23
Nomor 2:
f(x) = x³ + x² - 4
g(x) = x³ - 2x² + x + 2
- f(x) + g(x)
f(x) + g(x) = (x³ + x² - 4) + (x³ - 2x² + x + 2)
f(x) + g(x) = x³ + x² - 4 + x³ - 2x² + x + 2
f(x) + g(x) = 2x³ - x² + x - 2
- f(x) - g(x)
f(x) - g(x) = (x³ + x² - 4) - (x³ - 2x² + x + 2)
f(x) - g(x) = x³ + x² - 4 - x³ + 2x² - x - 2
f(x) - g(x) = 3x² - x - 6
- f(x) • g(x)
f(x) • g(x) = (x³ + x² - 4) • (x³ - 2x² + x + 2)
f(x) • g(x) = x^6 - 6x^5 + x^4 + 2x^3 + x^5 - 2x^4 + x^3 + 2x^2 - 4x^3 - 8x^2 - 4x - 8
f(x) • g(x) = x^6 - 5x^5 - x^4 - x^3 - 6x^2 - 4x - 8
Nomor 3:
| 1 2 3 -5
2 | 2 8 22
|____________ +
1 4 11 17
Hasil bagi = x² + 4x + 11
Sisa = 17
Nomor 4:
x² + 4x + 11 ----> Hasil bagi
______________
x - 2 / x³ + 2x² + 3x - 5
/ x³ - 2x²
______________ –
4x² + 3x - 5
4x² - 8x
___________ –
11x - 5
11x - 22
_______ –
17 ----> Sisa
وَاللَّهُ عَالَمُ بِاالصَّوَافَ
-S-
Penjelasan dengan langkah-langkah:
1).
f(2) = 2³ + 3(2)² - 2 + 5
= 8 + 12 - 2 + 5 = 23
2).
f(x) = x³ + x² - 4
g(x) = x³ - 2x² + x + 2
a). f(x) + g(x)
(x³ + x² - 4) + (x³ - 2x² + x + 2) =
x³ + x³ + x² - 2x² + x - 4 + 2 =
2x³ + x² + x - 2
b). f(x) - g(x)
(x³ + x² - 4) - (x³ - 2x² + x + 2) =
x³ - x³ + x² + 2x² - x - 4 - 2 =
3x² - x - 6
c). f(x).g(x)
(x³ + x² - 4) . (x³ - 2x² + x + 2) =
(x³. x³) + (x³. (-2x²)) + (x³. x) + (x³. 2) + (x².x³) + (x².(-2x²)) + (x². x) + (x². 2) + ((-4). x³) + ((-4).(-2x²)) + ((-4). x) + ((-4).2) =
x^6 - 2x^5 + x⁴ + 2x³ + x^5 - 2x⁴ + x³ + 2x² - 4x³ + 8x² - 4x - 8 =
x^6 - x^5 - x⁴ - x³ + 10x² - 8
3. harus digambar
4. harus digambar
[answer.2.content]
