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By remainder theorem
let p(x)=4x⁴-3x³-2x²+x-7
2x+1=0
x=-1/2
p(-1/2)=4(-1/2)⁴-3(-1/2)³-2(-1/2)²+(-1/2)-7
=4/16-3/8-2/4-1/2-7
=1/4+3/8-1/2-1/2-7
=2+3-4-4/8-7
=-3/8-7
= -3-56/8
=-59/8
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