if (z-2) & (z-1/2) are the factors of polynomial pz^2+5z+r then prove p=r. please answer me quickly
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p(2) => 4p + 10+ r=0-------(1)
p(1/2)=>1/4p+5/2+r
=(p+10+4r)/4
=p+10+4r=0------------(2)
from (1) and (2),
4p+10+r =p+10+4r
4p-p+10-10=4r-r
3p+0=3r
3p=3r
p=r
Hence proved
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p(1/2)=>1/4p+5/2+r
=(p+10+4r)/4
=p+10+4r=0------------(2)
from (1) and (2),
4p+10+r =p+10+4r
4p-p+10-10=4r-r
3p+0=3r
3p=3r
p=r
Hence proved
please friend select my answer as brainlist.
so that I can get another rank :-))))
anvitha6:
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