Check whether p (x)=4x cube +4x square -x-1 is a multiple of 2x+1
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p(x)=4x³+4x²-x-1
g(x)=2x+1
g(x)=0
2x+1=0
2x=-1
x=-1/2
p[-1/2]=4[-1/2]³+4[-1/2]²-[1/2]-1
=4×[-1/8]+4×1/4-1/2-1
=-1/2+1/1-1/2-1/1
=-1/2+2/2-1/2-2/2
=-1+2-1-2/2
=1-3
=-2
2x+1 is not a multiple
g(x)=2x+1
g(x)=0
2x+1=0
2x=-1
x=-1/2
p[-1/2]=4[-1/2]³+4[-1/2]²-[1/2]-1
=4×[-1/8]+4×1/4-1/2-1
=-1/2+1/1-1/2-1/1
=-1/2+2/2-1/2-2/2
=-1+2-1-2/2
=1-3
=-2
2x+1 is not a multiple
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