fx=3x3+ax2+8x-b dan g(x)=x2+5x+6 f(x) nilai a+2b
Matematika
purwatytri
Pertanyaan
fx=3x3+ax2+8x-b dan g(x)=x2+5x+6 f(x) nilai a+2b
1 Jawaban
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1. Jawaban MuhammadNaufalAdly
• g(x) : x'2+5x+6
g(x) : (x+2)(x+3)
• f(-2) = 0 ; f(-3) = 0
• f(-2) = 0
3(-2)'3+a(-2)'2+8.-2-b=0
3.-8+4a-16-b=0
-24+4a-16-b=0
4a-40=b
• f(-3)=0
3(-3)'3+a(-3)'2+8(-3)-b=0
3.-27+9a-24=b
-81-24+9a=b
b = 9a-105
•
4a-40=9a-105
5a=65
a=13
• Maka b = 4a-40 = 4(13)-40 = 52-40 = 12
• a+2b = 13+2(12) : 37
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