if (3x-2) is a factor of 3x2-x2-20x+12. find the other factors.
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Answer:
By using factor theorem
(3x−2)=0
3x=2
x=2/3
now, let f(x)=3x3+x2−20x+12
f(2/3)=3(2/3)3+(2/3)2−20(2/3)+12
f(2/3)=3(8/27)+(4/9)−(40/3)+12
f(2/3)=(8/9)+(4/9)−(40/3)+12
f(2/3)=(12/9)−(40/3)+12
f(2/3)=(4/3)−(40/3)+12
f(2/3)=12−(36/3)
f(2/3)=12−12
f(2/3)=0
(3x−2) is a factor of 3x3+x2−20x+12
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