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check it.... hope i did calculation rightly
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Answer:
2x-1=0
x=1/2
f(x)=4x³-12x²+14x-3
g(1/2)=4(1/2)³-12(1/2)²+14(1/2)-3
4(1/8)-12(1/4)+7-3
1/2-3+7-3
1/2+1 (lcm of 2 and 1 is 2)
1/2+(1×2/1×2)
1/2+2/2=3/2
By actual division (long division method) you will get the quotient as 2x²-5x-2x and remainder as x²+7x-3
[ 2x-1 is not the factor ]
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