bila f(x) dibagi(x-2) bersisa 24 dan bila dibagi (x+5) susanya 11. carilah sisanya bila f(x) dibagi x2+3x-10
Matematika
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Pertanyaan
bila f(x) dibagi(x-2) bersisa 24 dan bila dibagi (x+5) susanya 11. carilah sisanya bila f(x) dibagi x2+3x-10
1 Jawaban
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1. Jawaban Robinn
→ f(x) : ax + b
x - 2 = 0
x = 2
→ Subs x = 2
ax + b = 24
2a + b = 24
x + 5 = 0
x = -5
→ Subs x = -5
ax + b = 11
-5a + b = 11
→ Eliminasi
2a + b = 24
-5a + b = 11
------------------ (-)
7a = 35
a = 35/7
a = 5
2a + b = 25
2(5) + b = 25
10 + b = 25
b = 25 - 10
b = 15
→ Sisa jika di bagi x² + 3x - 10 :
= ax + b
= 5x + 15