Question

determine whether (3x-2) is a factor of 3x³+x²-20x+12

Answer 1

Hi there,
_______________________________

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...

Hope this helps!!!

Answer 2

Answer:

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