3. Find the remainder when 2x2-3x+5 is divided by 2x - 3. Does it exactly divide the
polynomial ? State reason.
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Answer:
13/2 . Reason - as 13 cannot divided by 2
Step-by-step explanation:
Given,
p(x)=2x2-3x+5
So, by using remainder theorem
g(x)=2x-3=0
=2x=3
=x=3/2
so, by putting the value of g(x) in p(x),
p(x)=2x2-3x+5
p(3/2)=2(3/2×2)-3(3/2)+5
=6-9/2+5
=6+5-9/2
=11-9/2
=22-9/2
=13/2
so, it is not exactly divided
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