tolong nomer 10 pakek cara ya.. makasih
Matematika
sherlymelviniamalia
Pertanyaan
tolong nomer 10
pakek cara ya.. makasih
pakek cara ya.. makasih
1 Jawaban
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1. Jawaban jatisadewa1
g(x) = x⁴+ 2x³-ax²-14x+b
x²+3x-4 => (x+4)(x-1), x=-4 V x=1
g(-4) => (-4)⁴ + 2(-4)³ - a(-4)² - 14(-4) + b = 0
=> 256 - 128 -16a + 56 + b = 0
=> -16a + b = -184 (i)
g(1) => (1)⁴ + 2(1)³ - a(1)² - 14(1) + b = 0
=> 1 + 2 - a - 14 + b = 0
=> -a + b = 11 (ii)
eliminasi (i) dan (ii)
-16a+b=-184
-a+b=11
_______________-
-15a = -195
a = 39
subs nilai a ke (ii)
-(39) + b = 11
b = 50
masukkan nilai a dan b ke g(x)
g(x)= x⁴+2x³-39x²-14x+50
soalnya jika g(x) dibagi x+1 maka bersisa...
x+1 = 0
x = -1
*skema horner
| 1 2. -39. -14. 50
x=-1 | -1. -1. 40. -26
___________________________ +
1 1. -40. 26. 24
jadi sisanya ialah 24 (E)