Find the value of k so that (2x-1) be the factor of 8x⁴ +4x³ - 16x²+ 10x+k.
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Answer:
k=-2
Step-by-step explanation:
g(x)=2x-1=0
=2x=1
=x=1/2
p(1/2)=8*1/2*1/2*1/2*1/2+4*1/2*1/2*1/2+-16*1/2*1/2+10*1/2+k=0
=1/2+1/2-4+5+k=0
=1+1-8+10+2k/2=0
=4+2k=0*2
=2k=-4
=k=-4/2
=k=-2
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